Geometriae Dedicata

, 135:167

Finite index subgroups of graph products

Original Paper

DOI: 10.1007/s10711-008-9270-0

Cite this article as:
Haglund, F. Geom Dedicata (2008) 135: 167. doi:10.1007/s10711-008-9270-0

Abstract

We prove that every quasiconvex subgroup of a right-angled Coxeter group is an intersection of finite index subgroups. From this we deduce similar separability results for other types of groups, including graph products of finite groups and right-angled Artin groups.

Keywords

Right-angled Coxeter group CAT(0) Cube Complex Graph product Quasi-convex subgroup Separable subgroup 

Mathematics Subject Classification (2000)

20F65 20F67 51E24 20E26 20F55 20F36 

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Laboratoire de MathématiquesUniversité de Paris XI (Paris-Sud)OrsayFrance

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