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The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran
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
Opac: Controlla la disponibilità qui
The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran
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
Opac: Controlla la disponibilità qui
The second Chinburg conjecture for quaternion fields / / Jeff Hooper, Victor Snaith, Minh van Tran
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
Opac: Controlla la disponibilità qui