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＜E-Book＞
Subgroup complexes / Stephen D. Smith
(Mathematical surveys and monographs ; no. 179)

Publisher	Providence, R.I : American Mathematical Society
Year	c2011
Size	1 online resource (xii, 364 p. : ill.)
Authors	*Smith, Stephen D. 1948-
Subjects	LCSH:Finite groups LCSH:Group theory
Contents	Introduction 1. Background: Posets, simplicial complexes, and topology 2. Examples: Subgroup complexes as geometries for simple groups 3. Contractibility 4. Homotopy equivalence 5. The reduced Euler characteristic ${\tilde {\chi }}$ and variations on vanishing 6. The reduced Lefschetz module ${\tilde {L}}$ and projectivity 7. Group cohomology and decompositions 8. Spheres in homology and Quillen's Conjecture 9. Connectivity, simple connectivity, and sphericality 10. Local-coefficient homology and representation theory 11. Orbit complexes and Alperin's Conjecture
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/179 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/179 Information=Contents

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