The classification of p-compact groups for p odd

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dc.creatorAndersen, Kasper K. S.
dc.creatorGrodal, Jesper
dc.creatorMøller, Jesper M.
dc.creatorViruel, Antonio
dc.date2003-02-27
dc.date2005-10-10
dc.date.accessioned2026-07-07T09:33:14Z
dc.date.available2026-07-07T09:33:14Z
dc.descriptionA p-compact group, as defined by Dwyer and Wilkerson, is a purely homotopically defined p-local analog of a compact Lie group. It has long been the hope, and later the conjecture, that these objects should have a classification similar to the classification of compact Lie groups. In this paper we finish the proof of this conjecture, for p an odd prime, proving that there is a one-to-one correspondence between connected p-compact groups and finite reflection groups over the p-adic integers. We do this by providing the last, and rather intricate, piece, namely that the exceptional compact Lie groups are uniquely determined as p-compact groups by their Weyl groups seen as finite reflection groups over the p-adic integers. Our approach in fact gives a largely self-contained proof of the entire classification theorem.
dc.description92 pages. Final version. To appear in Ann. of Math
dc.identifierhttps://arxiv.org/abs/math/0302346
dc.identifierhttp://arxiv.org/abs/math/0302346
dc.identifierAnnals of Math. 167 (2008), 95--210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159062
dc.subjectAlgebraic Topology
dc.subjectGroup Theory
dc.subjectRepresentation Theory
dc.subject55R35 (Primary) 55P35, 57T10, 20G20 (Secondary)
dc.titleThe classification of p-compact groups for p odd
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