Subgroup separability in residually free groups
classification
🧮 math.GR
keywords
freegroupsresiduallysubgroupsfinitelypresentabledescribeinfty
read the original 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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