Virtual retractions, conjugacy separability and omnipotence

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dc.creatorWilton, Henry
dc.date2008-09-13
dc.date.accessioned2026-07-07T10:02:44Z
dc.date.available2026-07-07T10:02:44Z
dc.descriptionWe use wreath products to provide criteria for a group to be conjugacy separable or omnipotent. These criteria are in terms of virtual retractions onto cyclic subgroups. We give two applications: a straightforward topological proof of the theorem of Stebe that infinite-order elements of Fuchsian groups (of the first type) are conjugacy distinguished, and a proof that surface groups are omnipotent.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0809.2308
dc.identifierhttp://arxiv.org/abs/0809.2308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169077
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20E26; 57N05
dc.titleVirtual retractions, conjugacy separability and omnipotence
dc.typetext

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