dc.contributor.advisor | Lifschitz, Lucy | |
dc.contributor.advisor | Malestein, Justin | |
dc.contributor.author | Morgan, Thomas | |
dc.date.accessioned | 2019-05-08T18:31:19Z | |
dc.date.available | 2019-05-08T18:31:19Z | |
dc.date.issued | 2019-05-10 | |
dc.identifier.uri | https://hdl.handle.net/11244/319612 | |
dc.description.abstract | In 2009 Grunewald and Lubotzky published a paper in which they defined a family of linear representations of the automorphism group of a free group. In this dissertation, we will use their ideas to construct a family of linear representation of the automorphism group of a right-angled Coxeter group. We will then use graph-theoretic properties of the defining graph to systematically decompose the image group into a group of block upper triangular matrices. | en_US |
dc.language | en_US | en_US |
dc.rights | Attribution 4.0 International | * |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Geometric Group Theory | en_US |
dc.title | Representations of the Automorphism Group of a Right-Angled Coxeter Group | en_US |
dc.contributor.committeeMember | Ralf, Schmidt | |
dc.contributor.committeeMember | Jonathan, Kujawa | |
dc.contributor.committeeMember | David, Vishanoff | |
dc.date.manuscript | 2019-05 | |
dc.thesis.degree | Ph.D. | en_US |
ou.group | College of Arts and Sciences::Department of Mathematics | en_US |