Coxeter groups are virtually special

نویسندگان

  • Frédéric Haglund
  • Daniel T. Wise
  • Henning Krause
چکیده

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. © 2010 Elsevier Inc. All rights reserved. MSC: 53C23; 20F36; 20F55; 20F67; 20F65; 20E26

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تاریخ انتشار 2010