Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

Sorted by: relevance · author · university · dateNew search

You searched for subject:( coboundaries). Showing records 1 – 2 of 2 total matches.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


Boston College

1. Harvey, Ebony Ann. Cohomological Invariants of Quadratic Forms.

Degree: MA, Mathematics, 2010, Boston College

Given a field F, an algebraic closure K and an F-vector space V, we can tensor the space V with the algebraic closure K. Two quadratic spaces of the same dimension become isomorphic when tensored with an algebraic closure. The failure of this isomorphism over F is measured by the Hasse invariant. This paper explains how the determinants and Hasse Invariants of quadratic forms are related to certain cohomology classes constructed from specific short exact sequences. In particular, the Hasse Invariant is defined as an element of the Brauer group. Advisors/Committee Members: Benjamin V. Howard (Thesis advisor).

Subjects/Keywords: Central Simple Algebra; cocycles and coboundaries; Cohomology; factor sets; Hasse Invariant; Quadratic Forms

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

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

APA (6th Edition):

Harvey, E. A. (2010). Cohomological Invariants of Quadratic Forms. (Masters Thesis). Boston College. Retrieved from http://dlib.bc.edu/islandora/object/bc-ir:101504

Chicago Manual of Style (16th Edition):

Harvey, Ebony Ann. “Cohomological Invariants of Quadratic Forms.” 2010. Masters Thesis, Boston College. Accessed December 16, 2019. http://dlib.bc.edu/islandora/object/bc-ir:101504.

MLA Handbook (7th Edition):

Harvey, Ebony Ann. “Cohomological Invariants of Quadratic Forms.” 2010. Web. 16 Dec 2019.

Vancouver:

Harvey EA. Cohomological Invariants of Quadratic Forms. [Internet] [Masters thesis]. Boston College; 2010. [cited 2019 Dec 16]. Available from: http://dlib.bc.edu/islandora/object/bc-ir:101504.

Council of Science Editors:

Harvey EA. Cohomological Invariants of Quadratic Forms. [Masters Thesis]. Boston College; 2010. Available from: http://dlib.bc.edu/islandora/object/bc-ir:101504


Universitetet i Tromsø

2. Breivik, Markus Nordvoll. Group Cohomology and Extensions .

Degree: 2019, Universitetet i Tromsø

The goal of this thesis is to classify all extensions where the kernel has order p^s and the cokernel has order p^t, p is a prime, and 1 ≤ s,t ≤ 2. We determine (up to weak congruence) the different combinations of kernel, cokernel and operators, and for each case, calculate the second cohomology group. By comparing resolutions, we get an explicit correspondence between the second cohomology group and the group of congruence classes of extensions. Using this construction, we determine (up to congruence) the extensions for the different combinations. Advisors/Committee Members: Prasolov, Andrei (advisor).

Subjects/Keywords: VDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414; VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414; homological algebra; homology; cohomology; group cohomology; group extension; group extensions; integral group ring; short exact sequence; exact sequence; resolution; module; modules; p-groups; cocycle; cocycles; coboundary; coboundaries; resolutions; kernel; cokernel

Record DetailsSimilar RecordsGoogle PlusoneFacebookTwitterCiteULikeMendeleyreddit

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

APA (6th Edition):

Breivik, M. N. (2019). Group Cohomology and Extensions . (Masters Thesis). Universitetet i Tromsø. Retrieved from http://hdl.handle.net/10037/16251

Chicago Manual of Style (16th Edition):

Breivik, Markus Nordvoll. “Group Cohomology and Extensions .” 2019. Masters Thesis, Universitetet i Tromsø. Accessed December 16, 2019. http://hdl.handle.net/10037/16251.

MLA Handbook (7th Edition):

Breivik, Markus Nordvoll. “Group Cohomology and Extensions .” 2019. Web. 16 Dec 2019.

Vancouver:

Breivik MN. Group Cohomology and Extensions . [Internet] [Masters thesis]. Universitetet i Tromsø 2019. [cited 2019 Dec 16]. Available from: http://hdl.handle.net/10037/16251.

Council of Science Editors:

Breivik MN. Group Cohomology and Extensions . [Masters Thesis]. Universitetet i Tromsø 2019. Available from: http://hdl.handle.net/10037/16251

.