Representations of the Automorphism Group of a Right-Angled Coxeter Group

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dc.contributor.advisorLifschitz, Lucy
dc.contributor.advisorMalestein, Justin
dc.contributor.authorMorgan, Thomas
dc.contributor.committeeMemberRalf, Schmidt
dc.contributor.committeeMemberJonathan, Kujawa
dc.contributor.committeeMemberDavid, Vishanoff
dc.date.accessioned2019-05-08T18:31:19Z
dc.date.available2019-05-08T18:31:19Z
dc.date.issued2019-05-10
dc.date.manuscript2019-05
dc.description.abstractIn 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.identifier.urihttps://hdl.handle.net/11244/319612
dc.languageen_USen_US
dc.rightsAttribution 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectGeometric Group Theoryen_US
dc.thesis.degreePh.D.en_US
dc.titleRepresentations of the Automorphism Group of a Right-Angled Coxeter Groupen_US
ou.groupCollege of Arts and Sciences::Department of Mathematicsen_US

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