The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees
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| Autore: |
Bruner R. R (Robert Ray), <1950->
|
| Titolo: |
The connective K-theory of finite groups / / R.R. Bruner, J.P.C. Greenlees
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2003] |
| ©2003 | |
| Descrizione fisica: | 1 online resource (144 p.) |
| Disciplina: | 510 s |
| 514/.23 | |
| Soggetto topico: | K-theory |
| Finite groups | |
| Persona (resp. second.): | GreenleesJ. P. C <1959-> (John Patrick Campbell) |
| 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"" | |
| Titolo autorizzato: | The connective K-theory of finite groups |
| ISBN: | 1-4704-0383-8 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788850403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 785.