Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup

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dc.creatorKhan, Qayum
dc.date2006-09-08
dc.date2008-03-31
dc.date.accessioned2026-07-07T10:20:13Z
dc.date.available2026-07-07T10:20:13Z
dc.descriptionLet F be a finite group with a Sylow 2-subgroup S that is normal and abelian. Using hyperelementary induction and cartesian squares, we prove that Cappell's unitary nilpotent groups UNil_*(Z[F];Z[F],Z[F]) have an induced isomorphism to the quotient of UNil_*(Z[S];Z[S],Z[S]) by the action of the group F/S. In particular, any finite group F of odd order has the same UNil-groups as the trivial group. The broader scope is the study of the L-theory of virtually cyclic groups, based on the Farrell--Jones isomorphism conjecture. We obtain partial information on these UNil when S is a finite abelian 2-group and when S is a special 2-group.
dc.description29 pages, revision of decorations, correction of Homological Reduction
dc.identifierhttps://arxiv.org/abs/math/0609225
dc.identifierhttp://arxiv.org/abs/math/0609225
dc.identifierJournal of Pure and Applied Algebra, Volume 213, Number 3 (2009), 279--298
dc.identifierdoi:10.1016/j.jpaa.2008.07.005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174778
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subject19G24; 57R67
dc.titleReduction of UNil for finite groups with normal abelian Sylow 2-subgroup
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