Volume 7, issue 4 (2007)

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Chevalley $p$–local finite groups

Carles Broto and Jesper M Møller

Algebraic & Geometric Topology 7 (2007) 1809–1919
Abstract

We describe the spaces of homotopy fixed points of unstable Adams operations acting on $p$–compact groups and also of unstable Adams operations twisted with a finite order automorphism of the $p$–compact group. We obtain new exotic $p$–local finite groups.

Keywords
fusion system, p-local finite group, Chevalley group, p-compact group, classifying space, homotopy type, cohomology
Mathematical Subject Classification 2000
Primary: 55R35, 55P15, 55P10
Secondary: 55R40, 20D20