# The cohomology of certain 2-local finite groups

Grbić, Jelena (2006) The cohomology of certain 2-local finite groups. Manuscripta Mathematica, 120 (3). pp. 307-318. ISSN 0025-2611

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## Abstract

There exist spaces BSol(q) which are the classifying spaces of a family of 2-local finite groups based on certain fusion system over the Sylow 2-subgroups of Spin7(q). In this paper we calculate the cohomology of BSol(q) as an algebra over the Steenrod algebra $$\mathcal{A}_2$$. We also provide the calculation of the cohomology algebra over $$\mathcal{A}_2$$ of the finite group of Lie type G2(q).

Item Type: Article MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizationsMSC 2010, the AMS's Mathematics Subject Classification > 55 Algebraic topology Ms Lucy van Russelt 06 Apr 2007 20 Oct 2017 14:12 http://eprints.maths.manchester.ac.uk/id/eprint/769

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