The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran

• Autore: Hooper Jeff <1968->
• 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
• 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.: 9910788842303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 704.