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Classifying Spaces of Sporadic Groups

About this Title

David J. Benson, University of Aberdeen, Aberdeen, Scotland, United Kingdom and Stephen D. Smith, University of Illinois at Chicago, Chicago, IL

Publication: Mathematical Surveys and Monographs
Publication Year: 2008; Volume 147
ISBNs: 978-0-8218-4474-8 (print); 978-1-4704-1374-3 (online)
DOI: https://doi.org/10.1090/surv/147
MathSciNet review: MR2378355
MSC: Primary 55R35; Secondary 20B25, 20D08, 20J06, 55R40

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Table of Contents

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Front/Back Matter

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Part 1. Exposition of background material

• 1. Overview of our main results
• 2. Review of selected aspects of group cohomology
• 3. Simplicial sets and their equivalence with topological spaces
• 4. Bousfield-Kan completions and homotopy colimits
• 5. Decompositions and ample collections of $p$-subgroups
• 6. 2-local geometries for simple groups

Part 2. Main results on sporadic groups

• 7. Decompositions for the individual sporadic groups
• 8. Details of proofs for individual groups