The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran |
Autore | Hooper Jeff <1968-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
Descrizione fisica | 1 online resource (146 p.) |
Disciplina |
510 s
512/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Galois modules (Algebra)
Quaternions |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0295-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910479989103321 |
Hooper Jeff <1968-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran |
Autore | Hooper Jeff <1968-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
Descrizione fisica | 1 online resource (146 p.) |
Disciplina |
510 s
512/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Galois modules (Algebra)
Quaternions |
ISBN | 1-4704-0295-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910788842303321 |
Hooper Jeff <1968-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran |
Autore | Hooper Jeff <1968-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2000] |
Descrizione fisica | 1 online resource (146 p.) |
Disciplina |
510 s
512/.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Galois modules (Algebra)
Quaternions |
ISBN | 1-4704-0295-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910818133403321 |
Hooper Jeff <1968-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2000] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|