TY  - BOOK
AU  - Bruner,R.R.
AU  - Greenlees,J.P.C.
TI  - Connective K-Theory of Finite Groups
T2  - Memoirs of the American Mathematical Society
SN  - 9781470403836
AV  - QA612.33 -- .B78 2003eb 
U1  - 510 s;514/.23 
PY  - 2003///
CY  - Providence
PB  - American Mathematical Society
KW  - K-theory
KW  - Finite groups
KW  - Electronic books
N1  - Intro -- Contents -- Chapter 0. Introduction -- 0.1. Motivation -- 0.2. Highlights of Chapter 1 -- 0.3. Highlights of Chapter 2 -- 0.4. Highlights of Chapter 3 -- 0.5. Highlights of Chapter 4 -- 0.6. Reading guide -- 0.7. Acknowledgements -- Chapter 1. General properties of the ku-cohomology of finite groups -- 1.1. Varieties for connective K-theory -- 1.2. Implications for minimal primes -- 1.3. Euler classes and Chern classes -- 1.4. Bockstein spectral sequences -- 1.5. The Kiinneth theorem -- Chapter 2. Examples of ku-cohomology of finite groups -- 2.1. The technique -- 2.2. Cyclic groups -- 2.3. Nonabelian groups of order pq -- 2.4. Quaternion groups -- 2.5. Dihedral groups -- 2.6. The alternating group of degree 4 -- Chapter 3. The ku-homology of finite groups -- 3.1. General behaviour of ku[sub(*)](BG) -- 3.2. The universal coefficient theorem -- 3.3. Local cohomology and duality -- 3.4. The ku-homology of cyclic and quaternion groups -- 3.5. The ku-homology of BD[sub(8)] -- 3.6. Tate cohomology -- Chapter 4. The ku-homology and ku-cohomology of elementary abelian groups -- 4.1. Description of results -- 4.2. The ku-cohomology of elementary abelian groups -- 4.3. What local cohomology ought to look like -- 4.4. The local cohomology of Q -- 4.5. The 2-adic filtration of the local cohomology of Q -- 4.6. A free resolution of T -- 4.7. The local cohomology of T -- 4.8. Hilbert series -- 4.9. The quotient P/T[sub(2)] -- 4.10. The local cohomology of R -- 4.11. The ku-homology of BV -- 4.12. Duality for the cohomology of elementary abelian groups -- 4.13. Tate cohomology of elementary abelian groups -- Appendix A. Conventions -- A.1. General conventions -- A.2. Adams spectral sequence conventions -- Appendix B. Indices -- B.1. Index of calculations -- B.2. Index of symbols -- B.3. Index of notation -- B.4. Index of terminology -- Bibliography
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ER  -