Classifying spaces of sporadic groups
著者
書誌事項
Classifying spaces of sporadic groups
（Mathematical surveys and monographs, v. 147）
American Mathematical Society, c2008
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注記
Includes bibliographical references (p. 275-279) and index
内容説明・目次
内容説明
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.
目次
Overview of our main results Exposition of background material: Review of selected aspects of group cohomology Simplicial sets and their equivalence with topological spaces Bousfield-Kan completions and homotopy colimits Decompositions and ample collections of $p$-subgroups 2-local geometries for simple groups Main results on sporadic groups: Decompositions for the individual sporadic groups Details of proofs for individual groups Bibliography Index.
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