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The cohomology of exotic 2-local finite groups

Algebraic Topology 2007-05-23 v1 Group Theory

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).

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Cite

@article{arxiv.math/0601356,
  title  = {The cohomology of exotic 2-local finite groups},
  author = {Jelena Grbic},
  journal= {arXiv preprint arXiv:math/0601356},
  year   = {2007}
}

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13 pages