%0 PDF
%T Visible Artin Subgroups of Right-Angled Coxeter Groups
%A LaForge, Garret.
%D 2017-10-02T09:12:30.532-04:00
%8 2017-10-02
%R http://localhost/files/6108vp86d
%X Abstract: We consider an extension of work done by Michael Davis and Tadeusz Januszkiewicz in 1999. Given a right-angled Artin group A, they showed how to construct a right-angled Coxeter group W in which A sits as a subgroup of finite index. We partially classify the RACGs W which admit such an embedding, obtaining complete results when W is hyperbolic, virtually free, or 1-ended. We introduce the notion of visible Artin subgroups, and show how to detect them using the combinatorics of the RACG's defining graph and check index using natural CAT(0)-cube complexes associated to the groups. Finally, we discuss open questions and extension to the case where W is infinite-ended.; Thesis (Ph.D.)--Tufts University, 2017.; Submitted to the Dept. of Mathematics.; Advisor: Kim Ruane.; Committee: Genevieve Walsh, Robert Kropholler, and Pallavi Dani.; Keyword: Mathematics.
%[ 2018-10-09
%9 Text
%~ Tufts Digital Library
%W Institution