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Subgroup complexes
Stephen D. Smith, University of Illinois at Chicago, IL
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Mathematical Surveys and Monographs
2011; 364 pp; hardcover
Volume: 179
ISBN-10: 0-8218-0501-0
ISBN-13: 978-0-8218-0501-5
List Price: US$94
Member Price: US$75.20
Order Code: SURV/179
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See also:

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.

Readership

Graduate students and research mathematicians interested in group theory and algebraic topology.

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