Classifying Spaces of Sporadic Groups

David J. Benson, Stephen D. Smith

Research output: Book/ReportBook

Abstract

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.
Original languageEnglish
PublisherAmerican Mathematical Society
Number of pages289
Volume147
ISBN (Print)9780821844748
Publication statusPublished - 2008

Publication series

NameMathematical Surveys and Monographs

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  • Cite this

    Benson, D. J., & Smith, S. D. (2008). Classifying Spaces of Sporadic Groups. (Mathematical Surveys and Monographs). American Mathematical Society.