Hall's Theorem for limit groups

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dc.creatorWilton, Henry
dc.date2006-05-19
dc.date2007-06-07
dc.date.accessioned2026-07-07T08:04:25Z
dc.date.available2026-07-07T08:04:25Z
dc.descriptionA celebrated theorem of Marshall Hall Jr. implies that finitely generated free groups are subgroup separable and that all of their finitely generated subgroups are retracts of finite-index subgroups. We use topological techniques inspired by the work of Stallings to prove that all limit groups share these two properties. This answers a question of Sela.
dc.description39 pages, 4 figures, added a double-coset-separability result, to appear in GAFA
dc.identifierhttps://arxiv.org/abs/math/0605546
dc.identifierhttp://arxiv.org/abs/math/0605546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129950
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20F65 (20E26, 20E05)
dc.titleHall's Theorem for limit groups
dc.typetext

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