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Cohomology of Kac–Moody groups over a finite field

Jaume Aguadé and Albert Ruiz

Algebraic & Geometric Topology 13 (2013) 2207–2238
Abstract

We compute the mod p cohomology algebra of a family of infinite discrete Kac–Moody groups of rank two defined over finite fields of characteristic different from p.

Keywords
cohomology, classifying spaces, Kac–Moody groups
Mathematical Subject Classification 2010
Primary: 55R35, 81R10, 20G44
References
Publication
Received: 26 June 2012
Revised: 12 March 2013
Accepted: 13 March 2013
Published: 12 June 2013
Authors
Jaume Aguadé
Departament de Matemàtiques
Facultat de Ciències
Universitat Autònoma de Barcelona
08193 Cerdanyola del Vallès
Spain
http://mat.uab.cat/~aguade
Albert Ruiz
Departament de Matemàtiques
Facultat de Ciències
Universitat Autònoma de Barcelona
08193 Cerdanyola del Vallès
Spain
http://mat.uab.cat/~albert