The cohomology of exotic 2-local finite groups

Details The cohomology of exotic 2-local finite groups The cohomology of exotic 2-local finite groups

2006-01-14

arxiv.org/abs/math/0601356v1

Mathematics

Algebraic Topology

13 pages

Scientific paper

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).

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