The second Chinburg conjecture for quaternion fields:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2000
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
704 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 148, Number 704 (fourth of 5 numbers) |
| Beschreibung: | VIII, 133 S. |
| ISBN: | 0821821644 |
Internformat
MARC
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| 245 | 1 | 0 | |a The second Chinburg conjecture for quaternion fields |c Jeff Hooper ; Victor Snaith ; Minh van Tran |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2000 | |
| 300 | |a VIII, 133 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 704 | |
| 500 | |a Volume 148, Number 704 (fourth of 5 numbers) | ||
| 650 | 4 | |a Galois modules (Algebra) | |
| 650 | 4 | |a Galois-Modul | |
| 650 | 4 | |a Quaternion | |
| 650 | 4 | |a Quaternions | |
| 700 | 1 | |a Snaith, Victor P. |d 1944- |e Verfasser |0 (DE-588)108351882 |4 aut | |
| 700 | 1 | |a Tran, Minh Van |d 1963- |e Verfasser |0 (DE-588)173427510 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804128246771482624 |
|---|---|
| adam_text | Contents
INTRODUCTION 1
Chapter 1. Class groups of group rings 4
1. Hom Descriptions 4
2. The class group of Z[Q8] 9
3. The second Chinburg conjecture 13
Chapter 2. The evaluation of [X] 17
1. A Horn description representative of [X] 17
2. Kim s Examples 22
Chapter 3. Quaternion fields over Q2 28
1. Galois actions 28
2. Fundamental 2 extensions 32
3. The fundamental 2 extension in Case A 39
4. The fundamental 2 extension in Case B 45
5. The fundamental 2 extension in Case C 55
Chapter 4. The Invariant in Cases A, B and C 67
1. The strategy of the calculation 67
2. Evaluating [Ker(k )] in Case A 70
3. Evaluating [Ker(k )} in Case B 80
4. Evaluating [Ker(k )} in Case C 86
Chapter 5. The evaluation of [M] 92
1. The class [M] in Case A 92
2. The class [M] in Case B 112
3. The class [M] in Case C 117
Chapter 6. The conjecture in Cases A, B and C 124
1. Evaluation of [X] in Cases A, B and C 124
2. The proof in Cases A, B and C 127
Chapter 7. Epilogue 128
1. Related and Subsequent Results 128
Bibliography 130
Index 133
|
| any_adam_object | 1 |
| author | Hooper, Jeff 1968- Snaith, Victor P. 1944- Tran, Minh Van 1963- |
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| classification_tum | MAT 180f MAT 120f |
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| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV013453528 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:12Z |
| institution | BVB |
| isbn | 0821821644 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009184292 |
| oclc_num | 247382608 |
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| physical | VIII, 133 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hooper, Jeff 1968- Verfasser (DE-588)173427480 aut The second Chinburg conjecture for quaternion fields Jeff Hooper ; Victor Snaith ; Minh van Tran Providence, RI American Mathematical Society 2000 VIII, 133 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 704 Volume 148, Number 704 (fourth of 5 numbers) Galois modules (Algebra) Galois-Modul Quaternion Quaternions Snaith, Victor P. 1944- Verfasser (DE-588)108351882 aut Tran, Minh Van 1963- Verfasser (DE-588)173427510 aut American Mathematical Society: Memoirs of the American Mathematical Society 704 (DE-604)BV008000141 704 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hooper, Jeff 1968- Snaith, Victor P. 1944- Tran, Minh Van 1963- The second Chinburg conjecture for quaternion fields American Mathematical Society: Memoirs of the American Mathematical Society Galois modules (Algebra) Galois-Modul Quaternion Quaternions |
| title | The second Chinburg conjecture for quaternion fields |
| title_auth | The second Chinburg conjecture for quaternion fields |
| title_exact_search | The second Chinburg conjecture for quaternion fields |
| title_full | The second Chinburg conjecture for quaternion fields Jeff Hooper ; Victor Snaith ; Minh van Tran |
| title_fullStr | The second Chinburg conjecture for quaternion fields Jeff Hooper ; Victor Snaith ; Minh van Tran |
| title_full_unstemmed | The second Chinburg conjecture for quaternion fields Jeff Hooper ; Victor Snaith ; Minh van Tran |
| title_short | The second Chinburg conjecture for quaternion fields |
| title_sort | the second chinburg conjecture for quaternion fields |
| topic | Galois modules (Algebra) Galois-Modul Quaternion Quaternions |
| topic_facet | Galois modules (Algebra) Galois-Modul Quaternion Quaternions |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009184292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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