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Vanderbilt University

1. Davis, Tara Colleen. Subgroup Distortion in Metabelian and Free Nilpotent Groups.

Degree: PhD, Mathematics, 2011, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03222011-131219/ ;

► The main result of this dissertation sheds light on subgroup distortion in metabelian and free nilpotent groups. A subgroup of a ﬁnitely generated free nilpotent…
(more)

Subjects/Keywords: membership problem; wreath product; subgroup distortion

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APA (6^{th} Edition):

Davis, T. C. (2011). Subgroup Distortion in Metabelian and Free Nilpotent Groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03222011-131219/ ;

Chicago Manual of Style (16^{th} Edition):

Davis, Tara Colleen. “Subgroup Distortion in Metabelian and Free Nilpotent Groups.” 2011. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-03222011-131219/ ;.

MLA Handbook (7^{th} Edition):

Davis, Tara Colleen. “Subgroup Distortion in Metabelian and Free Nilpotent Groups.” 2011. Web. 11 Nov 2019.

Vancouver:

Davis TC. Subgroup Distortion in Metabelian and Free Nilpotent Groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2011. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-03222011-131219/ ;.

Council of Science Editors:

Davis TC. Subgroup Distortion in Metabelian and Free Nilpotent Groups. [Doctoral Dissertation]. Vanderbilt University; 2011. Available from: http://etd.library.vanderbilt.edu/available/etd-03222011-131219/ ;

Vanderbilt University

2. Camp, Wes Alan. Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups.

Degree: PhD, Mathematics, 2013, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03252013-161827/ ;

► We examine the connection between some vertex separators of graphs and topological properties of CAT(0) spaces acted on geometrically by groups corresponding to graphs. For…
(more)

Subjects/Keywords: geometric group theory

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APA (6^{th} Edition):

Camp, W. A. (2013). Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03252013-161827/ ;

Chicago Manual of Style (16^{th} Edition):

Camp, Wes Alan. “Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups.” 2013. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-03252013-161827/ ;.

MLA Handbook (7^{th} Edition):

Camp, Wes Alan. “Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups.” 2013. Web. 11 Nov 2019.

Vancouver:

Camp WA. Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2013. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-03252013-161827/ ;.

Council of Science Editors:

Camp WA. Graph Separators and Boundaries of Right-Angled Artin and Coxeter Groups. [Doctoral Dissertation]. Vanderbilt University; 2013. Available from: http://etd.library.vanderbilt.edu/available/etd-03252013-161827/ ;

Vanderbilt University

3. Hassan Balasubramanya, Sahana. Hyperbolic Structures on groups.

Degree: PhD, Mathematics, 2018, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-05252018-123711/ ;

► It is customary in geometric group theory to study groups as metric spaces. The standard way to convert a group G into a geometric object…
(more)

Subjects/Keywords: Quasi-parabolic actions; Geometric group theory; Group actions on hyperbolic spaces; Acylindrical actions; Lamplighter groups

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APA (6^{th} Edition):

Hassan Balasubramanya, S. (2018). Hyperbolic Structures on groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-05252018-123711/ ;

Chicago Manual of Style (16^{th} Edition):

Hassan Balasubramanya, Sahana. “Hyperbolic Structures on groups.” 2018. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-05252018-123711/ ;.

MLA Handbook (7^{th} Edition):

Hassan Balasubramanya, Sahana. “Hyperbolic Structures on groups.” 2018. Web. 11 Nov 2019.

Vancouver:

Hassan Balasubramanya S. Hyperbolic Structures on groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2018. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-05252018-123711/ ;.

Council of Science Editors:

Hassan Balasubramanya S. Hyperbolic Structures on groups. [Doctoral Dissertation]. Vanderbilt University; 2018. Available from: http://etd.library.vanderbilt.edu/available/etd-05252018-123711/ ;

Vanderbilt University

4. Darbinyan, Arman. The word and conjugacy problems in lacunary hyperbolic groups.

Degree: PhD, Mathematics, 2018, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-07112018-142606/ ;

► We study the word and conjugacy problems in lacunary hyperbolic groups (briefly, LHG). In particular, we describe a necessary and sufficient condition for decidability of…
(more)

Subjects/Keywords: word problem; conjugacy problem; lacunary hyperbolic groups

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APA (6^{th} Edition):

Darbinyan, A. (2018). The word and conjugacy problems in lacunary hyperbolic groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-07112018-142606/ ;

Chicago Manual of Style (16^{th} Edition):

Darbinyan, Arman. “The word and conjugacy problems in lacunary hyperbolic groups.” 2018. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-07112018-142606/ ;.

MLA Handbook (7^{th} Edition):

Darbinyan, Arman. “The word and conjugacy problems in lacunary hyperbolic groups.” 2018. Web. 11 Nov 2019.

Vancouver:

Darbinyan A. The word and conjugacy problems in lacunary hyperbolic groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2018. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-07112018-142606/ ;.

Council of Science Editors:

Darbinyan A. The word and conjugacy problems in lacunary hyperbolic groups. [Doctoral Dissertation]. Vanderbilt University; 2018. Available from: http://etd.library.vanderbilt.edu/available/etd-07112018-142606/ ;

Vanderbilt University

5. Nikkel, Jordan. On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T.

Degree: PhD, Mathematics, 2019, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-05162019-123720/ ;

► We extend the list of known diagram groups which satisfy a conjecture of Guba and *Sapir*. Specifically, Guba and *Sapir* extended the notion of the…
(more)

Subjects/Keywords: jones subgroup; stallings core; diagram groups; thompson groups

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APA (6^{th} Edition):

Nikkel, J. (2019). On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-05162019-123720/ ;

Chicago Manual of Style (16^{th} Edition):

Nikkel, Jordan. “On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T.” 2019. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-05162019-123720/ ;.

MLA Handbook (7^{th} Edition):

Nikkel, Jordan. “On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T.” 2019. Web. 11 Nov 2019.

Vancouver:

Nikkel J. On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T. [Internet] [Doctoral dissertation]. Vanderbilt University; 2019. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-05162019-123720/ ;.

Council of Science Editors:

Nikkel J. On Extending Stallings 2-Cores of Diagram Groups to R. Thompson's Group T and Jones Subgroup of T. [Doctoral Dissertation]. Vanderbilt University; 2019. Available from: http://etd.library.vanderbilt.edu/available/etd-05162019-123720/ ;

6. Smedberg, Matthew Raine. Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior.

Degree: PhD, Mathematics, 2014, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03132014-114415/ ;

► We show that several kinds of local behavior in a finite algebra A present obstructions to the decidability of the first-order theory of the finite…
(more)

Subjects/Keywords: strongly abelian; finite decidability; computability; locally finite varieties

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APA (6^{th} Edition):

Smedberg, M. R. (2014). Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03132014-114415/ ;

Chicago Manual of Style (16^{th} Edition):

Smedberg, Matthew Raine. “Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior.” 2014. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-03132014-114415/ ;.

MLA Handbook (7^{th} Edition):

Smedberg, Matthew Raine. “Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior.” 2014. Web. 11 Nov 2019.

Vancouver:

Smedberg MR. Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior. [Internet] [Doctoral dissertation]. Vanderbilt University; 2014. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-03132014-114415/ ;.

Council of Science Editors:

Smedberg MR. Necessary conditions for finite decidability in locally finite varieties admitting strongly abelian behavior. [Doctoral Dissertation]. Vanderbilt University; 2014. Available from: http://etd.library.vanderbilt.edu/available/etd-03132014-114415/ ;

7. Chaynikov, Vladimir Vladimirovich. Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth.

Degree: PhD, Mathematics, 2012, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-06212012-172048/ ;

► Hyperbolic groups are defined using the analogy between algebraic objects â groups â and hyperbolic metric spaces and manifolds. Our research involves the study and…
(more)

Subjects/Keywords: growth of action; small cancellation; quasiconvex subgroups; Hyperbolic groups; highly transitive actions

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APA (6^{th} Edition):

Chaynikov, V. V. (2012). Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-06212012-172048/ ;

Chicago Manual of Style (16^{th} Edition):

Chaynikov, Vladimir Vladimirovich. “Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth.” 2012. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-06212012-172048/ ;.

MLA Handbook (7^{th} Edition):

Chaynikov, Vladimir Vladimirovich. “Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth.” 2012. Web. 11 Nov 2019.

Vancouver:

Chaynikov VV. Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth. [Internet] [Doctoral dissertation]. Vanderbilt University; 2012. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-06212012-172048/ ;.

Council of Science Editors:

Chaynikov VV. Properties of hyperbolic groups: free normal subgroups, quasiconvex subgroups and actions of maximal growth. [Doctoral Dissertation]. Vanderbilt University; 2012. Available from: http://etd.library.vanderbilt.edu/available/etd-06212012-172048/ ;

8. Nica, Bogdan. Spectral morphisms, K-theory, and stable ranks.

Degree: PhD, Mathematics, 2009, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-07242009-211938/ ;

► We study the interplay between spectral morphisms, K-theory, and stable ranks for Banach algebras and, more generally, for Frechet algebras with open group of invertibles.…
(more)

Subjects/Keywords: K-theory; stable ranks; spectral morphism

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APA (6^{th} Edition):

Nica, B. (2009). Spectral morphisms, K-theory, and stable ranks. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-07242009-211938/ ;

Chicago Manual of Style (16^{th} Edition):

Nica, Bogdan. “Spectral morphisms, K-theory, and stable ranks.” 2009. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-07242009-211938/ ;.

MLA Handbook (7^{th} Edition):

Nica, Bogdan. “Spectral morphisms, K-theory, and stable ranks.” 2009. Web. 11 Nov 2019.

Vancouver:

Nica B. Spectral morphisms, K-theory, and stable ranks. [Internet] [Doctoral dissertation]. Vanderbilt University; 2009. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-07242009-211938/ ;.

Council of Science Editors:

Nica B. Spectral morphisms, K-theory, and stable ranks. [Doctoral Dissertation]. Vanderbilt University; 2009. Available from: http://etd.library.vanderbilt.edu/available/etd-07242009-211938/ ;

9. Kozakova, Iva. Percolation and Ising Model on Graphs with Tree-like Structure.

Degree: PhD, Mathematics, 2008, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-12032008-131106/ ;

► In the main part of this dissertation we present a method for finding the critical probability for the Bernoulli bond percolation and the critical inverse…
(more)

Subjects/Keywords: random groups; random processes; percolation

…than two generators are residually finite. It is a joint work with
*Mark* *Sapir*. The background…

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APA (6^{th} Edition):

Kozakova, I. (2008). Percolation and Ising Model on Graphs with Tree-like Structure. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-12032008-131106/ ;

Chicago Manual of Style (16^{th} Edition):

Kozakova, Iva. “Percolation and Ising Model on Graphs with Tree-like Structure.” 2008. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-12032008-131106/ ;.

MLA Handbook (7^{th} Edition):

Kozakova, Iva. “Percolation and Ising Model on Graphs with Tree-like Structure.” 2008. Web. 11 Nov 2019.

Vancouver:

Kozakova I. Percolation and Ising Model on Graphs with Tree-like Structure. [Internet] [Doctoral dissertation]. Vanderbilt University; 2008. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-12032008-131106/ ;.

Council of Science Editors:

Kozakova I. Percolation and Ising Model on Graphs with Tree-like Structure. [Doctoral Dissertation]. Vanderbilt University; 2008. Available from: http://etd.library.vanderbilt.edu/available/etd-12032008-131106/ ;

10. Wang, Hang. L2-index formula for proper cocompact group actions.

Degree: PhD, Mathematics, 2011, Vanderbilt University

URL: http://etd.library.vanderbilt.edu//available/etd-07252011-132556/ ;

► Indices are analytical invariants to some elliptic operators and an index formula provides a way to interpret the analysis quantity using the topological invariants. The…
(more)

Subjects/Keywords: proper action; L2-index; G-trace

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APA (6^{th} Edition):

Wang, H. (2011). L2-index formula for proper cocompact group actions. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu//available/etd-07252011-132556/ ;

Chicago Manual of Style (16^{th} Edition):

Wang, Hang. “L2-index formula for proper cocompact group actions.” 2011. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu//available/etd-07252011-132556/ ;.

MLA Handbook (7^{th} Edition):

Wang, Hang. “L2-index formula for proper cocompact group actions.” 2011. Web. 11 Nov 2019.

Vancouver:

Wang H. L2-index formula for proper cocompact group actions. [Internet] [Doctoral dissertation]. Vanderbilt University; 2011. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu//available/etd-07252011-132556/ ;.

Council of Science Editors:

Wang H. L2-index formula for proper cocompact group actions. [Doctoral Dissertation]. Vanderbilt University; 2011. Available from: http://etd.library.vanderbilt.edu//available/etd-07252011-132556/ ;

11. Boatman, Nicholas Stephen. Partial-Burnside Groups.

Degree: PhD, Mathematics, 2012, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-11302012-113318/ ;

► We consider groups which have a presentation whose defining relators are all nth powers and in which every element has order dividing n, for a…
(more)

Subjects/Keywords: small cancellation; geometric group theory; product variety

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APA (6^{th} Edition):

Boatman, N. S. (2012). Partial-Burnside Groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-11302012-113318/ ;

Chicago Manual of Style (16^{th} Edition):

Boatman, Nicholas Stephen. “Partial-Burnside Groups.” 2012. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-11302012-113318/ ;.

MLA Handbook (7^{th} Edition):

Boatman, Nicholas Stephen. “Partial-Burnside Groups.” 2012. Web. 11 Nov 2019.

Vancouver:

Boatman NS. Partial-Burnside Groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2012. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-11302012-113318/ ;.

Council of Science Editors:

Boatman NS. Partial-Burnside Groups. [Doctoral Dissertation]. Vanderbilt University; 2012. Available from: http://etd.library.vanderbilt.edu/available/etd-11302012-113318/ ;

12. Kent, Curtis Andrew. Topological properties of asymptotic cones.

Degree: PhD, Mathematics, 2013, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03202013-104718/ ;

► Gromov asked whether an asymptotic cone of a finitely generated group was always simply connected or had uncountable fundamental group. We prove that Gromov's dichotomy…
(more)

Subjects/Keywords: fundamental groups; asymptotic cones; groups

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APA (6^{th} Edition):

Kent, C. A. (2013). Topological properties of asymptotic cones. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03202013-104718/ ;

Chicago Manual of Style (16^{th} Edition):

Kent, Curtis Andrew. “Topological properties of asymptotic cones.” 2013. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-03202013-104718/ ;.

MLA Handbook (7^{th} Edition):

Kent, Curtis Andrew. “Topological properties of asymptotic cones.” 2013. Web. 11 Nov 2019.

Vancouver:

Kent CA. Topological properties of asymptotic cones. [Internet] [Doctoral dissertation]. Vanderbilt University; 2013. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-03202013-104718/ ;.

Council of Science Editors:

Kent CA. Topological properties of asymptotic cones. [Doctoral Dissertation]. Vanderbilt University; 2013. Available from: http://etd.library.vanderbilt.edu/available/etd-03202013-104718/ ;

13. Hull, Michael Bradley. Properties of acylindrically hyperbolic groups and their small cancellation quotients.

Degree: PhD, Mathematics, 2013, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-04092013-113226/ ;

► We investigate the class of acylindrically hyperbolic groups, which includes many examples of groups which admit natural actions on hyperbolic metric spaces, such as hyperbolic…
(more)

Subjects/Keywords: acylindrically hyperbolic groups; small cancellation

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APA (6^{th} Edition):

Hull, M. B. (2013). Properties of acylindrically hyperbolic groups and their small cancellation quotients. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-04092013-113226/ ;

Chicago Manual of Style (16^{th} Edition):

Hull, Michael Bradley. “Properties of acylindrically hyperbolic groups and their small cancellation quotients.” 2013. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-04092013-113226/ ;.

MLA Handbook (7^{th} Edition):

Hull, Michael Bradley. “Properties of acylindrically hyperbolic groups and their small cancellation quotients.” 2013. Web. 11 Nov 2019.

Vancouver:

Hull MB. Properties of acylindrically hyperbolic groups and their small cancellation quotients. [Internet] [Doctoral dissertation]. Vanderbilt University; 2013. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-04092013-113226/ ;.

Council of Science Editors:

Hull MB. Properties of acylindrically hyperbolic groups and their small cancellation quotients. [Doctoral Dissertation]. Vanderbilt University; 2013. Available from: http://etd.library.vanderbilt.edu/available/etd-04092013-113226/ ;

Vanderbilt University

14. Minasyan, Ashot. On Quasiconvex Subsets of Hyperbolic Groups.

Degree: PhD, Mathematics, 2005, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-04062005-201041/ ;

► A geodesic metric space X is called hyperbolic if there exists δ ge 0 such that every geodesic triangle Δ in X is δ-slim, i.e.,…
(more)

Subjects/Keywords: geometric group theory

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APA (6^{th} Edition):

Minasyan, A. (2005). On Quasiconvex Subsets of Hyperbolic Groups. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-04062005-201041/ ;

Chicago Manual of Style (16^{th} Edition):

Minasyan, Ashot. “On Quasiconvex Subsets of Hyperbolic Groups.” 2005. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-04062005-201041/ ;.

MLA Handbook (7^{th} Edition):

Minasyan, Ashot. “On Quasiconvex Subsets of Hyperbolic Groups.” 2005. Web. 11 Nov 2019.

Vancouver:

Minasyan A. On Quasiconvex Subsets of Hyperbolic Groups. [Internet] [Doctoral dissertation]. Vanderbilt University; 2005. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-04062005-201041/ ;.

Council of Science Editors:

Minasyan A. On Quasiconvex Subsets of Hyperbolic Groups. [Doctoral Dissertation]. Vanderbilt University; 2005. Available from: http://etd.library.vanderbilt.edu/available/etd-04062005-201041/ ;

Vanderbilt University

15. Muranov, Alexey. On geometry and combinatorics of van Kampen diagrams.

Degree: PhD, Mathematics, 2006, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-05102006-160631/ ;

► The subject of this work is application of combinatorial group theory to the problem of constructing groups with prescribed properties. It is shown how certain…
(more)

Subjects/Keywords: van Kampen diagrams; group presentations; bounded generation

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APA (6^{th} Edition):

Muranov, A. (2006). On geometry and combinatorics of van Kampen diagrams. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-05102006-160631/ ;

Chicago Manual of Style (16^{th} Edition):

Muranov, Alexey. “On geometry and combinatorics of van Kampen diagrams.” 2006. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-05102006-160631/ ;.

MLA Handbook (7^{th} Edition):

Muranov, Alexey. “On geometry and combinatorics of van Kampen diagrams.” 2006. Web. 11 Nov 2019.

Vancouver:

Muranov A. On geometry and combinatorics of van Kampen diagrams. [Internet] [Doctoral dissertation]. Vanderbilt University; 2006. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-05102006-160631/ ;.

Council of Science Editors:

Muranov A. On geometry and combinatorics of van Kampen diagrams. [Doctoral Dissertation]. Vanderbilt University; 2006. Available from: http://etd.library.vanderbilt.edu/available/etd-05102006-160631/ ;

Vanderbilt University

16. Nowak, Piotr Wojciech. Property A as metric amenability and its applications to geometry.

Degree: PhD, Mathematics, 2008, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-03272008-222931/ ;

► Property A was introduced by Guoliang Yu as a metric version of a well-known group invariant, amenability. The new notion turned out to be extremely…
(more)

Subjects/Keywords: isoperimetric profile; asymptotic dimension; coarse embedding; Property A

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APA (6^{th} Edition):

Nowak, P. W. (2008). Property A as metric amenability and its applications to geometry. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-03272008-222931/ ;

Chicago Manual of Style (16^{th} Edition):

Nowak, Piotr Wojciech. “Property A as metric amenability and its applications to geometry.” 2008. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-03272008-222931/ ;.

MLA Handbook (7^{th} Edition):

Nowak, Piotr Wojciech. “Property A as metric amenability and its applications to geometry.” 2008. Web. 11 Nov 2019.

Vancouver:

Nowak PW. Property A as metric amenability and its applications to geometry. [Internet] [Doctoral dissertation]. Vanderbilt University; 2008. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-03272008-222931/ ;.

Council of Science Editors:

Nowak PW. Property A as metric amenability and its applications to geometry. [Doctoral Dissertation]. Vanderbilt University; 2008. Available from: http://etd.library.vanderbilt.edu/available/etd-03272008-222931/ ;

Vanderbilt University

17. Kozik, Marcin Andrzej. On some complexity problems in finite algebras.

Degree: PhD, Mathematics, 2004, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-09292004-212720/ ;

► This work contains constructions of finite algebras which are "complex" according to three different complexity measures. These constructions are modifications of the construction of Ralph…
(more)

Subjects/Keywords: gamma function; beta function; membership problem; universal algebra; computational complexity

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Kozik, M. A. (2004). On some complexity problems in finite algebras. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-09292004-212720/ ;

Chicago Manual of Style (16^{th} Edition):

Kozik, Marcin Andrzej. “On some complexity problems in finite algebras.” 2004. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-09292004-212720/ ;.

MLA Handbook (7^{th} Edition):

Kozik, Marcin Andrzej. “On some complexity problems in finite algebras.” 2004. Web. 11 Nov 2019.

Vancouver:

Kozik MA. On some complexity problems in finite algebras. [Internet] [Doctoral dissertation]. Vanderbilt University; 2004. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-09292004-212720/ ;.

Council of Science Editors:

Kozik MA. On some complexity problems in finite algebras. [Doctoral Dissertation]. Vanderbilt University; 2004. Available from: http://etd.library.vanderbilt.edu/available/etd-09292004-212720/ ;

Vanderbilt University

18. Sonkin, Dmitriy Markovich. On Groups of Large Exponents n and n-periodic Products.

Degree: PhD, Mathematics, 2005, Vanderbilt University

URL: http://etd.library.vanderbilt.edu/available/etd-06032005-025224/ ;

► The purpose of this thesis is further development of geometric method of analyzing relations of periodic type and application of this method to obtain some…
(more)

Subjects/Keywords: torsion groups; van Kampen diagrams; graded diagrams method; periodic product of groups

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Sonkin, D. M. (2005). On Groups of Large Exponents n and n-periodic Products. (Doctoral Dissertation). Vanderbilt University. Retrieved from http://etd.library.vanderbilt.edu/available/etd-06032005-025224/ ;

Chicago Manual of Style (16^{th} Edition):

Sonkin, Dmitriy Markovich. “On Groups of Large Exponents n and n-periodic Products.” 2005. Doctoral Dissertation, Vanderbilt University. Accessed November 11, 2019. http://etd.library.vanderbilt.edu/available/etd-06032005-025224/ ;.

MLA Handbook (7^{th} Edition):

Sonkin, Dmitriy Markovich. “On Groups of Large Exponents n and n-periodic Products.” 2005. Web. 11 Nov 2019.

Vancouver:

Sonkin DM. On Groups of Large Exponents n and n-periodic Products. [Internet] [Doctoral dissertation]. Vanderbilt University; 2005. [cited 2019 Nov 11]. Available from: http://etd.library.vanderbilt.edu/available/etd-06032005-025224/ ;.

Council of Science Editors:

Sonkin DM. On Groups of Large Exponents n and n-periodic Products. [Doctoral Dissertation]. Vanderbilt University; 2005. Available from: http://etd.library.vanderbilt.edu/available/etd-06032005-025224/ ;