Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-22T06:22:46.201Z Has data issue: false hasContentIssue false
  • English
  • Français

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: [email protected]
Paul Schupp
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA. E-mail: [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)