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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
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.

Type
Research Article
Copyright
2004 London Mathematical Society

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