The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran
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| Autore: |
Hooper Jeff <1968->
|
| Titolo: |
The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
| ©2000 | |
| Descrizione fisica: | 1 online resource (146 p.) |
| Disciplina: | 510 s |
| 512/.74 | |
| Soggetto topico: | Galois modules (Algebra) |
| Quaternions | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | SnaithVictor P <1944-> (Victor Percy) |
| TranMinh Van <1963-> | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""Chapter 1. Class-groups of group-rings""; ""1. Hom Descriptions""; ""2. The class-group of Z[Q[sub(8)]]""; ""3. The second Chinburg conjecture""; ""Chapter 2. The evaluation of [X]""; ""1. A Hom-description representative of [X]""; ""2. Kim's Examples""; ""Chapter 3. Quaternion fields over Q[sub(2)]""; ""1. Galois actions""; ""2. Fundamental 2-extensions""; ""3. The fundamental 2-extension in Case A""; ""4. The fundamental 2-extension in Case B""; ""5. The fundamental 2-extension in Case C""; ""Chapter 4. The Invariant in Cases A, B and C"" |
| ""1. The strategy of the calculation""""2. Evaluating [Ker(k')] in Case A""; ""3. Evaluating [Ker(k')] in Case B""; ""4. Evaluating [Ker(k')] in Case C""; ""Chapter 5. The evaluation of [M]""; ""1. The class [M] in Case A""; ""2. The class [M] in Case B""; ""3. The class [M] in Case C""; ""Chapter 6. The conjecture in Cases A, B and C""; ""1. Evaluation of [X] in Cases A, B and C""; ""2. The proof in Cases A, B and C""; ""Chapter 7. Epilogue""; ""1. Related and Subsequent Results""; ""Bibliography""; ""Index"" | |
| Titolo autorizzato: | The second Chinburg conjecture for quaternion fields |
| ISBN: | 1-4704-0295-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910479989103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 704.