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Subgroup Complexes

Stephen D. Smith

出版	American Mathematical Soc., 2011-11-10
主題	Mathematics / General
ISBN	08218050109780821805015
URL	http://books.google.com.hk/books?id=KR-CAwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

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.