English

Subgroup separability in residually free groups

Group Theory 2007-06-29 v1

Abstract

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

Keywords

Cite

@article{arxiv.0706.4247,
  title  = {Subgroup separability in residually free groups},
  author = {Martin R. Bridson and Henry Wilton},
  journal= {arXiv preprint arXiv:0706.4247},
  year   = {2007}
}
R2 v1 2026-06-21T08:43:02.313Z