The Sigma Invariants of Thompson's Group F

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dc.creatorBieri, Robert
dc.creatorGeoghegan, Ross
dc.creatorKochloukova, Dessislava
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:54:02Z
dc.date.available2026-07-07T09:54:02Z
dc.descriptionThompson's group F is the group of all increasing dyadic piecewise linear homeomorphisms of the closed unit interval. We compute Sigma^m(F) and Sigma^m(F;Z), the homotopical and homological Bieri-Neumann-Strebel-Renz invariants of F, and we show that Sigma^m(F) = Sigma^m(F;Z). As an application, we show that, for every m, F has subgroups of type F_{m-1} which are not of type F_{m}.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0807.5138
dc.identifierhttp://arxiv.org/abs/0807.5138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166170
dc.subjectGroup Theory
dc.subjectAlgebraic Topology
dc.subject20F38, 20F69
dc.titleThe Sigma Invariants of Thompson's Group F
dc.typetext

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