Classifying spaces of sporadic groups
Author(s)
Bibliographic Information
Classifying spaces of sporadic groups
（Mathematical surveys and monographs, v. 147）
American Mathematical Society, c2008
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
S||MSM||147200003619752
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Note
Includes bibliographical references (p. 275-279) and index
Description and Table of Contents
Description
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.
Table of Contents
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.
by "Nielsen BookData"