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

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 Mathematics Subject Classification 20F65, 20F55, 20F36, 20F06.