Chevalley p–local finite groups

Broto, Carles; Møller, Jesper

doi:10.2140/agt.2007.7.1809

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Chevalley $p$–local finite groups

Carles Broto and Jesper M Møller

Algebraic & Geometric Topology 7 (2007) 1809–1919

DOI: 10.2140/agt.2007.7.1809

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

References

Publication

Received: 1 May 2004

Accepted: 10 October 2007

Published: 18 December 2007

Authors

Carles Broto
Departament de Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra, Spain
http://mat.uab.es/~broto/
Jesper M Møller
Matematisk Institut Københavns Universitet Universitetsparken 5 DK–2100 København, Denmark
http://www.math.ku.dk/~moller/

Volume 7, issue 4 (2007)