Book Details
Format
Hardback or Cased Book
Book Series
Mathematical Surveys and Monographs
ISBN-10
0821844741
ISBN-13
9780821844748
Edition
illustrated Edition
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Jan 30th, 2008
Print length
289 Pages
Weight
701 grams
Product Classification:
Groups & group theoryGroups and group theory
Ksh 19,800.00
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Summarizes the literature about the ring structure of the mod 2 cohomology of sporadic simple groups. This book offers background material on the relevant constructions from algebraic topology, and on local geometries from group theory.
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.
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