Fixity and Free Group Actions on Products of Spheres

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dc.creatorAdem, Alejandro
dc.creatorDavis, James F.
dc.creatorUnlu, Ozgun
dc.date2003-04-07
dc.date.accessioned2026-07-07T04:56:39Z
dc.date.available2026-07-07T04:56:39Z
dc.descriptionWe use the notion of fixity for representations of finite groups to construct free and smooth actions on products of spheres. In particular we show that a finite p-group (for p>3) will act freely and smoothly on a product of two spheres if and only if it does not contain a rank 3 elementary abelian subgroup. We show that if G is a finite subgroup of U(n), acting freely on U(n)/U(k) for some k>0 and if (|G|,(n-1)!)=1, then the action propagates to a free and smooth action on a product of n-k spheres. A number of explicit examples are discussed.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0304078
dc.identifierhttp://arxiv.org/abs/math/0304078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67000
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.titleFixity and Free Group Actions on Products of Spheres
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