Subgroup separability in residually free groups

Details Subgroup separability in residually free groups Subgroup separability in residually free groups

2007-06-28

arxiv.org/abs/0706.4247v1

Mathematics

Group Theory

8 pages, no figures

Scientific paper

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.

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