Explicit Brauer induction: with applications to algebra and number theory
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Press
1994
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
40 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 409 S. |
| ISBN: | 0521460158 |
Internformat
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| 245 | 1 | 0 | |a Explicit Brauer induction |b with applications to algebra and number theory |c Victor P. Snaith |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge u.a. |b Cambridge Univ. Press |c 1994 | |
| 300 | |a XII, 409 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 40 | |
| 650 | 7 | |a Groepentheorie |2 gtt | |
| 650 | 4 | |a Groupes de Brauer | |
| 650 | 7 | |a Representatie (wiskunde) |2 gtt | |
| 650 | 4 | |a Représentations de groupes | |
| 650 | 4 | |a Brauer groups | |
| 650 | 4 | |a Representations of groups | |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
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| 830 | 0 | |a Cambridge studies in advanced mathematics |v 40 |w (DE-604)BV000003678 |9 40 | |
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Datensatz im Suchindex
| _version_ | 1804124330826661888 |
|---|---|
| adam_text | Contents
Preface page vii
1 Representations 1
1.1 Basic definitions 1
1.2 Complex representations 5
1.3 Exercises 21
2 Induction theorems 23
2.1 Induction theorems of Artin and Brauer 25
2.2 Brauer induction in canonical rational form 32
2.3 Brauer induction in canonical integral form 45
2.4 Inductive explicit Brauer induction 54
2.5 Exercises 67
3 GL2Fq 72
3.1 Weil representations 73
3.2 Explicit Brauer induction and Shintani descent 89
3.3 Exercises 104
4 The class group of a group ring 106
4.1 Adams operations and rationality 107
4.2 Describing the class group by representations 110
4.3 Determinantal congruences 120
4.4 Detecting elements in the class group 131
4.5 Galois properties of local determinants 138
4.6 Adams operations and determinants 153
4.7 Exercises 166
5 A class group miscellany 170
5.1 Restricted determinants 172
5.2 The class group of Z[g8] 176
5.3 Relations between Swan modules 189
5.4 The class group of a maximal order 205
v
vi Contents
5.5 Swan subgroups for nilpotent groups 219
5.6 Cyclic groups 230
5.7 Exercises 241
6 Complete discrete valuation fields 245
6.1 Ramification groups and functions 246
6.2 Kato s abelian conductor 258
6.3 The non abelian Swan conductor 282
6.4 Exercises 297
7 Galois module structure 299
7.1 Local Chinburg invariants 300
7.2 The global Chinburg invariant 331
7.3 The Chinburg invariant modulo D(Z[G]) 337
7.4 Real cyclotomic Galois module structure 365
7.5 Exercises 396
Bibliography 403
Index 407
|
| any_adam_object | 1 |
| author | Snaith, Victor P. 1944- |
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| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)58929780 (DE-599)BVBBV009959825 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:43:57Z |
| institution | BVB |
| isbn | 0521460158 |
| language | English |
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| physical | XII, 409 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Snaith, Victor P. 1944- Verfasser (DE-588)108351882 aut Explicit Brauer induction with applications to algebra and number theory Victor P. Snaith 1. publ. Cambridge u.a. Cambridge Univ. Press 1994 XII, 409 S. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 40 Groepentheorie gtt Groupes de Brauer Representatie (wiskunde) gtt Représentations de groupes Brauer groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Brauer-Gruppe (DE-588)4146488-6 gnd rswk-swf Brauer-Gruppe (DE-588)4146488-6 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Cambridge studies in advanced mathematics 40 (DE-604)BV000003678 40 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006600205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Snaith, Victor P. 1944- Explicit Brauer induction with applications to algebra and number theory Cambridge studies in advanced mathematics Groepentheorie gtt Groupes de Brauer Representatie (wiskunde) gtt Représentations de groupes Brauer groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Brauer-Gruppe (DE-588)4146488-6 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4146488-6 |
| title | Explicit Brauer induction with applications to algebra and number theory |
| title_auth | Explicit Brauer induction with applications to algebra and number theory |
| title_exact_search | Explicit Brauer induction with applications to algebra and number theory |
| title_full | Explicit Brauer induction with applications to algebra and number theory Victor P. Snaith |
| title_fullStr | Explicit Brauer induction with applications to algebra and number theory Victor P. Snaith |
| title_full_unstemmed | Explicit Brauer induction with applications to algebra and number theory Victor P. Snaith |
| title_short | Explicit Brauer induction |
| title_sort | explicit brauer induction with applications to algebra and number theory |
| title_sub | with applications to algebra and number theory |
| topic | Groepentheorie gtt Groupes de Brauer Representatie (wiskunde) gtt Représentations de groupes Brauer groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Brauer-Gruppe (DE-588)4146488-6 gnd |
| topic_facet | Groepentheorie Groupes de Brauer Representatie (wiskunde) Représentations de groupes Brauer groups Representations of groups Darstellungstheorie Brauer-Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006600205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003678 |
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