Topics in group rings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker
1978
|
| Schriftenreihe: | Pure and applied mathematics
50 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 251 S. |
| ISBN: | 0824767551 |
Internformat
MARC
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| 035 | |a (OCoLC)4136079 | ||
| 035 | |a (DE-599)BVBBV002245641 | ||
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| 100 | 1 | |a Sehgal, Sudarshan K. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topics in group rings |c Sudarshan K. Sehgal |
| 264 | 1 | |a New York |b Dekker |c 1978 | |
| 300 | |a VI, 251 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 50 | |
| 650 | 4 | |a Anneau groupe | |
| 650 | 7 | |a Anneaux (algèbre) |2 ram | |
| 650 | 4 | |a Exercice algèbre | |
| 650 | 4 | |a Groupe Lie | |
| 650 | 4 | |a Group rings | |
| 650 | 0 | 7 | |a Gruppenring |0 (DE-588)4158469-7 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Pure and applied mathematics |v 50 |w (DE-604)BV000001885 |9 50 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-001475789 | ||
| 980 | 4 | |a (DE-12)AK20120861 | |
Datensatz im Suchindex
| _version_ | 1804116701741056000 |
|---|---|
| adam_text | CONTENTS
PREFACE
CHAPTER I. IDEMPOTENTS 1
1. Idempotents in QG 2
2. Noetherian Groups 16
3. Supersolvable Groups 29
4. Central Idempotents 37
CHAPTER II. UNITS IN GROUP RINGS I 43
1. Units of Finite Order 43
2. ZGwith Trivial Units of Finite Order 46
3. U(ZG) for Abelian G S4
4. Trivial U(ZZG) 57
5. Periodic Normal Subgroups of the
Unit Group 58
6. Units of ZS 60
CHAPTER III. THE ISOMORPHISM PROBLEM 63
1. Dimension Subgroups 64
2. Commutative Group Algebras 79
3. Commutative Modular Group Algebras 85
4. Finite Normal Subgroups 87
5. Finite Metabelian Groups 102
6., Modular Group Algebras 108
7. Automorphisms of 7LG 117
CHAPTER IV. UNIQUENESS OF THE COEFFICIENT RING IN RG 121
1. Automorphisms of R x 122
2. Jacobson Radical of R x 126
3. Perfect Rings 128
4. Commutative Rings 133
CHAPTER V. LIE PROPERTIES IN KG 141
1. Preliminaries 141
2. Matrix Rings 143
3. Lie Solvability 147
V
vi CONTENTS
4. Lie Nilpotence 149
5. Strong Lie Solvability 154
6. Lie n Engel Group Rings 155
CHAPTER VI. UNITS IN GROUP RINGS II 163
1. Nilpotent Elements 163
2. Torsion free Uj2ZG 176
3. Nilpotent Unit Groups 178
4. Solvable Unit Groups 198
5. Group Rings with FC Unit Groups 206
6. Normal Subgroups of U((ZZ/nZ)G) 214
CHAPTER VII. RESEARCH PROBLEMS 225
BIBLIOGRAPHY 235
INDEX OF SYMBOLS 247
INDEX 249
|
| any_adam_object | 1 |
| author | Sehgal, Sudarshan K. |
| author_facet | Sehgal, Sudarshan K. |
| author_role | aut |
| author_sort | Sehgal, Sudarshan K. |
| author_variant | s k s sk sks |
| building | Verbundindex |
| bvnumber | BV002245641 |
| callnumber-first | Q - Science |
| callnumber-label | QA171 |
| callnumber-raw | QA171 |
| callnumber-search | QA171 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)4136079 (DE-599)BVBBV002245641 |
| dewey-full | 512/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.22 |
| dewey-search | 512/.22 |
| dewey-sort | 3512 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002245641 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:42Z |
| institution | BVB |
| isbn | 0824767551 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001475789 |
| oclc_num | 4136079 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-188 DE-706 |
| physical | VI, 251 S. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Sehgal, Sudarshan K. Verfasser aut Topics in group rings Sudarshan K. Sehgal New York Dekker 1978 VI, 251 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 50 Anneau groupe Anneaux (algèbre) ram Exercice algèbre Groupe Lie Group rings Gruppenring (DE-588)4158469-7 gnd rswk-swf Gruppenring (DE-588)4158469-7 s DE-604 Pure and applied mathematics 50 (DE-604)BV000001885 50 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001475789&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sehgal, Sudarshan K. Topics in group rings Pure and applied mathematics Anneau groupe Anneaux (algèbre) ram Exercice algèbre Groupe Lie Group rings Gruppenring (DE-588)4158469-7 gnd |
| subject_GND | (DE-588)4158469-7 |
| title | Topics in group rings |
| title_auth | Topics in group rings |
| title_exact_search | Topics in group rings |
| title_full | Topics in group rings Sudarshan K. Sehgal |
| title_fullStr | Topics in group rings Sudarshan K. Sehgal |
| title_full_unstemmed | Topics in group rings Sudarshan K. Sehgal |
| title_short | Topics in group rings |
| title_sort | topics in group rings |
| topic | Anneau groupe Anneaux (algèbre) ram Exercice algèbre Groupe Lie Group rings Gruppenring (DE-588)4158469-7 gnd |
| topic_facet | Anneau groupe Anneaux (algèbre) Exercice algèbre Groupe Lie Group rings Gruppenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001475789&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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