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arxiv: math/0008230 · v1 · submitted 2000-08-30 · 🧮 math.AT · math.GR

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

classification 🧮 math.AT math.GR
keywords cohomologygrouphigman-simssubgroupsylowcomputedescriptionexplicit
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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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