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Subgroup separability in residually free groups
Authors:Martin R. Bridson  Henry Wilton
Affiliation:(1) Mathematics Department, Imperial College London, London, SW7 2AZ, UK;(2) Department of Mathematics, 1 University Station C1200, Austin, TX 78712-0257, USA
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.
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