Cellularization of classifying spaces and fusion properties of finite groups

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dc.creatorFlores, R. J.
dc.creatorScherer, J.
dc.date2005-01-25
dc.date.accessioned2026-07-07T05:16:22Z
dc.date.available2026-07-07T05:16:22Z
dc.descriptionOne way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their BZ/p-cellularization. In the easiest cases this is a classifying space of a finite group (always a finite p-group). If not, we show that it has infinitely many non-trivial homotopy groups. Moreover they are either p-torsion free or else infinitely many of them contain p-torsion. By means of techniques related to fusion systems we exhibit concrete examples where p-torsion appears.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0501442
dc.identifierhttp://arxiv.org/abs/math/0501442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73964
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subject55P60, 20D20 (Primary) 55R37, 55Q05 (Secondary)
dc.titleCellularization of classifying spaces and fusion properties of finite groups
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