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

Fingerprint

Sporadic Groups
Sporadic Simple Groups
Classifying Space
Group Cohomology
Decompose
Finite Simple Group
Homotopy
Cohomology
Subgroup
Ring

Cite this

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

Classifying Spaces of Sporadic Groups. / Benson, David J.; Smith, Stephen D.

American Mathematical Society, 2008. 289 p. (Mathematical Surveys and Monographs).

Research output: Book/ReportBook

Benson, DJ & Smith, SD 2008, Classifying Spaces of Sporadic Groups. Mathematical Surveys and Monographs, vol. 147, American Mathematical Society.
Benson DJ, Smith SD. Classifying Spaces of Sporadic Groups. American Mathematical Society, 2008. 289 p. (Mathematical Surveys and Monographs).
Benson, David J. ; Smith, Stephen D. / Classifying Spaces of Sporadic Groups. American Mathematical Society, 2008. 289 p. (Mathematical Surveys and Monographs).
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