Subgroup separability in residually free groups

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.

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Bridson, M, Wilton, H
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: 2007
Тодорхойлолт
Тойм: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.