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## 2007.67: The cohomology of certain 2-local finite groups

2007.67: Jelena Grbić (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 2000 > 20 Group theory and generalizationsMSC 2000 > 55 Algebraic topology 2007.67 Miss Louise Stait 06 April 2007