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.
| ISBN: | 9780821844748 |
| Publication date: | 30th January 2008 |
| Author: | D J Benson, Stephen D Smith |
| Publisher: | American Mathematical Society |
| Format: | Hardback |
| Pagination: | 289 pages |
| Series: | Mathematical Surveys and Monographs |
| Genres: |
Groups and group theory |