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

Alejandro Adem·Jon F. Carlson·Dikran Karagueuzian·R. James Milgram
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Abstract

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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Alejandro Adem, Jon F. Carlson, Dikran Karagueuzian, R. James Milgram. 2000-08-30. The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group. https://arxiv.org/abs/math/0008230

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