1.

Record Nr.

UNINA9910812751503321

Autore

Bruner R. R (Robert Ray), <1950->

Titolo

The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2003]

©2003

ISBN

1-4704-0383-8

Descrizione fisica

1 online resource (144 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 785

Disciplina

510 s

514/.23

Soggetti

K-theory

Finite groups

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 165, number 785 (second of 4 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 125-127) and indexes.

Nota di contenuto

""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""