Classifying Spaces of Sporadic Groups
Will be published approx. on 30. January 2008
Book
Hardback
289 pages
978-0-8218-4474-8 (ISBN)
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.
More details
Series
Edition
illustrated Edition
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Weight
709 gr
ISBN-13
978-0-8218-4474-8 (9780821844748)
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Schweitzer Classification
Content
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.