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Coxeter groups are virtually special
Authors:Fré    ric Haglund
Affiliation:a Laboratoire de Mathématiques, Université de Paris XI (Paris-Sud), 91405 Orsay, France
b Dept. of Math., McGill University, Montreal, Quebec, Canada H3A 2K6
Abstract:In this paper we prove that every finitely generated Coxeter group has a finite index subgroup that is the fundamental group of a special cube complex. Some consequences include: Every f.g. Coxeter group is virtually a subgroup of a right-angled Coxeter group. Every word-hyperbolic Coxeter group has separable quasiconvex subgroups.
Keywords:53C23   20F36   20F55   20F67   20F65   20E26
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