The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group

Mathematics – Algebraic Topology

Scientific paper

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Scientific paper

In this paper we compute the mod 2 cohomology of the Sylow 2-subgroup of the
Higman-Sims group HS, one of the 26 sporadic simple groups. We obtain its
Poincare series as well as an explicit description of it as a ring with 17
generators and 79 relations

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