Classifying Spaces of Sporadic Groups
- ISBN-10
- 0821844741
- ISBN-13
- 9780821844748
- Category
- Classifying spaces
- Pages
- 289
- Language
- English
- Published
- 2008
- Publisher
- American Mathematical Soc.
- Authors
- Stephen D. Smith, David J. Benson
Description
For each of the 26 sporadic finite simple groups, the authors construct a 2-completed classifying space using a homotopy decomposition in terms of classifying spaces of suitable 2-local subgroups. This construction leads to an additive decomposition of the mod 2 group cohomology. The authors also summarize the current status of knowledge in the literature about the ring structure of the mod 2 cohomology of sporadic simple groups.
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