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Mathematical Surveys and Monographs
2011; 364 pp; hardcover
List Price: US$99
Member Price: US$79.20
Order Code: SURV/179
Classifying Spaces of Sporadic Groups - David J Benson and Stephen D Smith
The Classification of Finite Simple Groups: Groups of Characteristic 2 Type - Michael Aschbacher, Richard Lyons, Stephen D Smith and Ronald Solomon
This book is intended as an overview of a research area that combines geometries for groups (such as Tits buildings and generalizations), topological aspects of simplicial complexes from \(p\)-subgroups of a group (in the spirit of Brown, Quillen, and Webb), and combinatorics of partially ordered sets. The material is intended to serve as an advanced graduate-level text and partly as a general reference on the research area. The treatment offers optional tracks for the reader interested in buildings, geometries for sporadic simple groups, and \(G\)-equivariant equivalences and homology for subgroup complexes.
Graduate students and research mathematicians interested in group theory and algebraic topology.
"There is an informal and conversational style to the description, designed to lead the reader through the story. This is extremely valuable for motivation and accessibility..."
-- Mathematical Reviews
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