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The cohomology of exotic 2-local finite groups

Research paper by Jelena Grbic

Indexed on: 14 Jan '06Published on: 14 Jan '06Published in: Mathematics - Algebraic Topology



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 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).