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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 ... read morethe 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.read less
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