Proc. London Math. Soc.
Abstract of Paper PLMS 1434

Ilya Kapovich and Paul Schupp

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

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.

2000 Mathematical Subject Classification: 20F65, 20F55, 20F36, 20F06.

Keywords: Coxeter groups, Artin groups, one-relator groups, free subgroups, subgroup separability, quasiconvexity.

E-mail:
kapovich@math.uiuc.edu
schupp@math.uiuc.edu


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