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2007 Chevalley $p$–local finite groups
Carles Broto, Jesper Møller
Algebr. Geom. Topol. 7(4): 1809-1919 (2007). 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.

Citation

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Carles Broto. Jesper Møller. "Chevalley $p$–local finite groups." Algebr. Geom. Topol. 7 (4) 1809 - 1919, 2007. https://doi.org/10.2140/agt.2007.7.1809

Information

Received: 1 May 2004; Accepted: 10 October 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1154.55009
MathSciNet: MR2366180
Digital Object Identifier: 10.2140/agt.2007.7.1809

Subjects:
Primary: 55P10 , 55P15 , 55R35
Secondary: 20D20 , 55R40

Keywords: Chevalley group , classifying space , Cohomology , Fusion system , homotopy type , p-compact group , p-local finite group

Rights: Copyright © 2007 Mathematical Sciences Publishers

Vol.7 • No. 4 • 2007
MSP
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