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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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DOI: 10.1007/s00229-006-0014-x

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
Subjects:MSC 2000 > 20 Group theory and generalizations
MSC 2000 > 55 Algebraic topology
MIMS number:2007.67
Deposited By:Miss Louise Stait
Deposited On:06 April 2007

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