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Bounded rank subgroups of Coxeter groups, Artin groups and one-relator groups with torsion

Published online by Cambridge University Press:  13 January 2004

Ilya Kapovich  and
Paul Schupp
Ilya Kapovich
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA. E-mail: kapovich@math.uiuc.edu
Paul Schupp
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA. E-mail: schupp@math.uiuc.edu
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Abstract

We obtain a number of results regarding the freeness of subgroups of Coxeter groups, Artin groups and one-relator groups with torsion. In the case of Coxeter groups, we also obtain results on quasiconvexity and subgroup separability.

Keywords

Coxeter groupsArtin groupsone-relator groupsfree subgroupssubgroup separabilityquasiconvexity20F6520F5520F3620F06
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 88 , Issue 1 , January 2004 , pp. 89 - 113
Copyright
2004 London Mathematical Society

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