Higman-Sims群的Sylow 2-子群的上同调
The Cohomology of the Sylow 2-subgroup of the Higman-Sims Group
摘要:
本文计算了26个散在单群之一Higman-Sims群HS的Sylow 2-子群的模2上同调.我们得到了它的Poincare级数,并将它描述为一个有17个生成元和79个关系的环
英文摘要:
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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