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Subgroup complexes
- Author / Creator
- Available as
- Online
Details
- Creator
- Smith, Stephen D
- Format
- Books
- Language
- Undetermined
- Publication
-
- [Place of publication not identified] : American Mathematical Society, 2011
- Physical Details
-
- 1 online resource
- ISBNs
- 9781470414061, 1470414066, 9780821805015, 0821805010
- OCLC
- ocn898200384
- Title from content provider.
- 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