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University of Illinois – Chicago

1. Schneider, Jonathan. Diagrammatic Theories of 1- and 2- Dimensional Knots.

Degree: 2016, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/20811

► A meta-theory is described whereby any diagrammatic knot theory may be defined by specifying diagrams and moves. This is done explicitly in dimensions 1 and…
(more)

Subjects/Keywords: knot theory; knot diagrams; surface knot theory; 2-knot theory; virtual knots; virtual knot theory; welded knots

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APA (6^{th} Edition):

Schneider, J. (2016). Diagrammatic Theories of 1- and 2- Dimensional Knots. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/20811

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

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

Schneider, Jonathan. “Diagrammatic Theories of 1- and 2- Dimensional Knots.” 2016. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/20811.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Schneider, Jonathan. “Diagrammatic Theories of 1- and 2- Dimensional Knots.” 2016. Web. 15 Jul 2020.

Vancouver:

Schneider J. Diagrammatic Theories of 1- and 2- Dimensional Knots. [Internet] [Thesis]. University of Illinois – Chicago; 2016. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/20811.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Schneider J. Diagrammatic Theories of 1- and 2- Dimensional Knots. [Thesis]. University of Illinois – Chicago; 2016. Available from: http://hdl.handle.net/10027/20811

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

2. Durham, Matthew G. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19007

► Let S be a surface of finite type and T(S) its Teichmuller space. In the first chapter of the thesis, we build a graph called…
(more)

Subjects/Keywords: Geometric group theory; Teichmuller space; mapping class groups; Nielsen realization

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APA (6^{th} Edition):

Durham, M. G. (2014). The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19007

Not specified: Masters Thesis or Doctoral Dissertation

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

Durham, Matthew G. “The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.” 2014. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/19007.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Durham, Matthew G. “The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.” 2014. Web. 15 Jul 2020.

Vancouver:

Durham MG. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/19007.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Durham MG. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/19007

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

3. Brasile, Andrew. Essential Spunnormal Surfaces via Tropical Geometry.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10117

► Methods for finding essential surfaces in 3-manifolds have been given in several seminal papers in 3-manifold topology and geometry. This thesis continues in this vein…
(more)

Subjects/Keywords: spunnormal; ideal triangulation; essential surface; tropical geometry; boundary slope; deformation variety

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APA (6^{th} Edition):

Brasile, A. (2013). Essential Spunnormal Surfaces via Tropical Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10117

Not specified: Masters Thesis or Doctoral Dissertation

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

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/10117.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Web. 15 Jul 2020.

Vancouver:

Brasile A. Essential Spunnormal Surfaces via Tropical Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/10117.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brasile A. Essential Spunnormal Surfaces via Tropical Geometry. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10117

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

4. Duong, Yen Ngoc. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22010

► We prove that random groups in the square model at density d<1/3 are residually finite, and that random groups in the density model are almost…
(more)

Subjects/Keywords: nilpotent groups; random groups; cubulation

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APA (6^{th} Edition):

Duong, Y. N. (2017). On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22010

Not specified: Masters Thesis or Doctoral Dissertation

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

Duong, Yen Ngoc. “On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.” 2017. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/22010.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Duong, Yen Ngoc. “On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups.” 2017. Web. 15 Jul 2020.

Vancouver:

Duong YN. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/22010.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Duong YN. On Random Groups: the Square Model at Density d<1/3 and as Quotients of Free Nilpotent Groups. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22010

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

5. Ingebretson, Daniel. Hausdorff Dimension of Kuperberg Minimal Sets.

Degree: 2018, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23005

► In 1994, Kuperberg constructed a smooth flow on a three-manifold with no periodic orbits. It was later shown that a generic Kuperberg flow preserves a…
(more)

Subjects/Keywords: Dimension theory; minimal sets

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APA (6^{th} Edition):

Ingebretson, D. (2018). Hausdorff Dimension of Kuperberg Minimal Sets. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23005

Not specified: Masters Thesis or Doctoral Dissertation

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

Ingebretson, Daniel. “Hausdorff Dimension of Kuperberg Minimal Sets.” 2018. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/23005.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Ingebretson, Daniel. “Hausdorff Dimension of Kuperberg Minimal Sets.” 2018. Web. 15 Jul 2020.

Vancouver:

Ingebretson D. Hausdorff Dimension of Kuperberg Minimal Sets. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/23005.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ingebretson D. Hausdorff Dimension of Kuperberg Minimal Sets. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/23005

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

6. Liang, Hao. Equation Problem Over Central Extensions of Hyperbolic Groups.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10380

► The Equation Problem in finitely presented groups asks if there exists an algorithm which determines in finite amount of time whether any given equation system…
(more)

Subjects/Keywords: Equation Problem in groups; hyperbolic groups; central extension of hyperbolic groups

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

APA (6^{th} Edition):

Liang, H. (2013). Equation Problem Over Central Extensions of Hyperbolic Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10380

Not specified: Masters Thesis or Doctoral Dissertation

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

Liang, Hao. “Equation Problem Over Central Extensions of Hyperbolic Groups.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/10380.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Liang, Hao. “Equation Problem Over Central Extensions of Hyperbolic Groups.” 2013. Web. 15 Jul 2020.

Vancouver:

Liang H. Equation Problem Over Central Extensions of Hyperbolic Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/10380.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Liang H. Equation Problem Over Central Extensions of Hyperbolic Groups. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10380

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

7. Mohajer, Ali. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.

Degree: 2018, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23245

► A new upper density bound on two-radius packings of disks in the plane is presented at a homogeneity which does not admit compact packings. Advisors/Committee…
(more)

Subjects/Keywords: Packing; Disk Packing; Disk Packing in the Plane; Two-radius Packing; Packing Density; Binary Packing; Upper Density Bound; Delaunay Triangulation; Surfeit; Adjusted Surfeit; Saturated Packing

Record Details Similar Records

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

APA (6^{th} Edition):

Mohajer, A. (2018). Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23245

Not specified: Masters Thesis or Doctoral Dissertation

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

Mohajer, Ali. “Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.” 2018. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/23245.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Mohajer, Ali. “Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.” 2018. Web. 15 Jul 2020.

Vancouver:

Mohajer A. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/23245.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mohajer A. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/23245

Not specified: Masters Thesis or Doctoral Dissertation

8. Bering, Edgar Andrew. Compatible Trees and Outer Automorphisms of a Free Group.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22014

► The analogy among linear groups, mapping class groups, and outer automorphism groups is imperfect. One point of disanalogy is McCarthy's theorem on two-generator subgroups of…
(more)

Subjects/Keywords: outer automorphism; real tree; geometric group theory; outer space; dehn twist; tits alternative; ping-pong; free group; guirardel core

Record Details Similar Records

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

APA (6^{th} Edition):

Bering, E. A. (2017). Compatible Trees and Outer Automorphisms of a Free Group. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22014

Not specified: Masters Thesis or Doctoral Dissertation

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

Bering, Edgar Andrew. “Compatible Trees and Outer Automorphisms of a Free Group.” 2017. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/22014.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Bering, Edgar Andrew. “Compatible Trees and Outer Automorphisms of a Free Group.” 2017. Web. 15 Jul 2020.

Vancouver:

Bering EA. Compatible Trees and Outer Automorphisms of a Free Group. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/22014.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bering EA. Compatible Trees and Outer Automorphisms of a Free Group. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22014

Not specified: Masters Thesis or Doctoral Dissertation

9. Gaster, Jonah B. Thurston's Skinning Map and Curves on Surfaces.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19003

► The ‘deformation space' of a given geometric structure on a fixed smooth manifold is a major theme in low-dimensional geometry. In this thesis we present…
(more)

Subjects/Keywords: Geometry; topology; skinning maps; maximal complete 1-systems; cube complex

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APA (6^{th} Edition):

Gaster, J. B. (2014). Thurston's Skinning Map and Curves on Surfaces. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19003

Not specified: Masters Thesis or Doctoral Dissertation

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

Gaster, Jonah B. “Thurston's Skinning Map and Curves on Surfaces.” 2014. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/19003.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Gaster, Jonah B. “Thurston's Skinning Map and Curves on Surfaces.” 2014. Web. 15 Jul 2020.

Vancouver:

Gaster JB. Thurston's Skinning Map and Curves on Surfaces. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/19003.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gaster JB. Thurston's Skinning Map and Curves on Surfaces. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/19003

Not specified: Masters Thesis or Doctoral Dissertation

10. Adrovic, Danko. Solving Polynomial Systems With Tropical Methods.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9735

► In this thesis, we develop a polyhedral method to solve polynomial systems. We are primarily interested in obtaining the Puiseux series representations of positive dimensional…
(more)

Subjects/Keywords: Newton-Puiseux method; polyhedral homotopies; Puiseux series; tropism; initial forms; unimodular coordinate transformations; cyclic n-roots problem

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APA (6^{th} Edition):

Adrovic, D. (2013). Solving Polynomial Systems With Tropical Methods. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9735

Not specified: Masters Thesis or Doctoral Dissertation

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

Adrovic, Danko. “Solving Polynomial Systems With Tropical Methods.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9735.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Adrovic, Danko. “Solving Polynomial Systems With Tropical Methods.” 2013. Web. 15 Jul 2020.

Vancouver:

Adrovic D. Solving Polynomial Systems With Tropical Methods. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9735.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Adrovic D. Solving Polynomial Systems With Tropical Methods. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9735

Not specified: Masters Thesis or Doctoral Dissertation

11. Siler, William M. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9909

► A carrier graph is a map from a finite graph to a hyperbolic 3-manifold M, which is surjective on the level of fundamental groups. We…
(more)

Subjects/Keywords: hyperbolic geometry; 3-manifold; carrier graph

Record Details Similar Records

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

APA (6^{th} Edition):

Siler, W. M. (2013). The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9909

Not specified: Masters Thesis or Doctoral Dissertation

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

Siler, William M. “The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9909.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Siler, William M. “The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.” 2013. Web. 15 Jul 2020.

Vancouver:

Siler WM. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9909.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Siler WM. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9909

Not specified: Masters Thesis or Doctoral Dissertation

12. Kaestner, Aaron. On Applications of Parity in Virtual Knot Theory.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9624

► We investigate applications of parity in virtual knot theory and extend this philosophy to virtual links. This allows us to generalize previously known invariants -…
(more)

Subjects/Keywords: Virtual Knot; Virtual Link; Jones Polynomial; Bracket Polynomial; Arrow Polynomial; Graphical Coefficient; Categorification; Biquandle; Parity; Parity Biquandle

Record Details Similar Records

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

APA (6^{th} Edition):

Kaestner, A. (2012). On Applications of Parity in Virtual Knot Theory. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9624

Not specified: Masters Thesis or Doctoral Dissertation

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

Kaestner, Aaron. “On Applications of Parity in Virtual Knot Theory.” 2012. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9624.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kaestner, Aaron. “On Applications of Parity in Virtual Knot Theory.” 2012. Web. 15 Jul 2020.

Vancouver:

Kaestner A. On Applications of Parity in Virtual Knot Theory. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9624.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kaestner A. On Applications of Parity in Virtual Knot Theory. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9624

Not specified: Masters Thesis or Doctoral Dissertation

13. Groff, Bradley W. Splittings of Relatively Hyperbolic Groups.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10173

► We obtain a strong structural description for a broad subset of relatively hyperbolic groups, including all which are finitely-presented and one-ended. We additionally leverage this…
(more)

Subjects/Keywords: relatively hyperbolic groups; quasi-isometries; group splittings; geometric group theory

Record Details Similar Records

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

APA (6^{th} Edition):

Groff, B. W. (2013). Splittings of Relatively Hyperbolic Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10173

Not specified: Masters Thesis or Doctoral Dissertation

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

Groff, Bradley W. “Splittings of Relatively Hyperbolic Groups.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/10173.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Groff, Bradley W. “Splittings of Relatively Hyperbolic Groups.” 2013. Web. 15 Jul 2020.

Vancouver:

Groff BW. Splittings of Relatively Hyperbolic Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/10173.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Groff BW. Splittings of Relatively Hyperbolic Groups. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10173

Not specified: Masters Thesis or Doctoral Dissertation

14. Guzman, Rosemary K. Hyperbolic 3-manifolds with k-free fundamental group.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8926

► The results of *Marc* *Culler* and Peter Shalen for 2,3 or 4-free hyperbolic 3-manifolds are contingent on properties specific to and special about rank two…
(more)

Subjects/Keywords: hyperbolic 3-manifolds; k-free; 4-free; fundamental group; actions without inversions on a tree; rank-3 subgroups of a free group; 5-free

Record Details Similar Records

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APA (6^{th} Edition):

Guzman, R. K. (2012). Hyperbolic 3-manifolds with k-free fundamental group. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8926

Not specified: Masters Thesis or Doctoral Dissertation

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

Guzman, Rosemary K. “Hyperbolic 3-manifolds with k-free fundamental group.” 2012. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/8926.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Guzman, Rosemary K. “Hyperbolic 3-manifolds with k-free fundamental group.” 2012. Web. 15 Jul 2020.

Vancouver:

Guzman RK. Hyperbolic 3-manifolds with k-free fundamental group. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/8926.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Guzman RK. Hyperbolic 3-manifolds with k-free fundamental group. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/8926

Not specified: Masters Thesis or Doctoral Dissertation