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Title: The classification of p-compact groups for p odd
Authors: Kasper K. S. Andersen, Jesper Grodal, Jesper M. M{\o}ller, Antonio Viruel
Subj-class: AT Algebraic Topology (GR Group theory; RT Representation Theory)
MSC-class: 55R35 (Primary) 55P35, 57T10, 20G20 (Secondary)
Comments: 87 pages
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A 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. The paper contains
a largely self-contained proof of the entire classification theorem.
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