### 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 language | English |
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Publisher | American Mathematical Society |

Number of pages | 289 |

Volume | 147 |

ISBN (Print) | 9780821844748 |

Publication status | Published - 2008 |

### Publication series

Name | Mathematical 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.