The cohomology of exotic 2-local finite groups

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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 Spin_7(q). In this paper we calculate the cohomology of BSol(q) as an algebra over the Steenrod algebra A_2. We also provide the calculation of the cohomology algebra over A_2 of the finite group of Lie type G_2(q).
13 pages

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Algebraic Topology, Group Theory, 55R35; 55R37; (20D06; 20D20)

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http://salesiana.dossiersoluciones.com/handle/123456789/107552

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601356
 http://arxiv.org/abs/math/0601356

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arXiv