Subgroup separability in residually free groups

Abstract

We prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type ${\mathrm{FP}}_{\infty }$ are virtual retracts. We describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups.

8 pages, no figures

References in corpus (1)

• Subgroups of direct products of limit groups