Character theory for the odd order theorem:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2000
|
| Schriftenreihe: | London Mathematical Society: London Mathematical Society lecture note series
272 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus d. Franz. übers. |
| Beschreibung: | VII, 154 S. |
| ISBN: | 052164660X |
Internformat
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| 240 | 1 | 0 | |a Théorie des charactéres dans le théoreme de Feit et Thompson[u.a.] |
| 245 | 1 | 0 | |a Character theory for the odd order theorem |c Thomas Peterfalvi |
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| 300 | |a VII, 154 S. | ||
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| 490 | 1 | |a London Mathematical Society: London Mathematical Society lecture note series |v 272 | |
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Datensatz im Suchindex
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| adam_text | Contents
Preface vii
Part I Character Theory for the Odd Order Theorem
Introduction 1
Notation 3
1. Preliminary Results from Character Theory 5
2. The Dade Isometry 10
3. Tl Subsets with Cyclic Normalizers 15
4. The Dade Isometry for a Certain Type of Subgroup 21
5. Coherence 25
6. Some Coherence Theorems 30
7. Non existence of a Certain Type of Group of Odd Order .... 38
8. Structure of a Minimal Simple Group of Odd Order 41
9. On the Maximal Subgroups of G of Types II, 111 and IV .... 50
10. Maximal Subgroups of Types III, IV and V 58
11. Maximal Subgroups of Types III and IV 64
12. Maximal Subgroups of Type I 69
13. The Subgroups S and 7 75
14. Non existence of G 87
Notes 93
References 95
Part II A Theorem of Suzuki
Introduction 97
Notation 99
Chapter I. General Properties of G 100
1. Consequences of Hypothesis (Al) 100
2. The Structure of Q and of K 103
3. Application of the Induction Hypothesis 104
Chapter II. The First Case 108
Chapter III. The Structure of H 115
1. The Structure of Q 115
2. The Case in which si has Order 5 118
3. The Action of KW on S 119
Chapter IV. Characterization of PSU(3, q) 122
1. The Mappings /, g and h 122
2. Preliminary Calculation 123
3. Determination of / 129
4. The Case V ^ W 132
Appendix I. A Special Case of a Theorem of Huppert 135
Appendix II. On Near Fields 137
Appendix III. On Suzuki 2 Groups 139
Appendix IV. The Feit Sibley Theorem 144
References 151
Index to Parts I and II 153
|
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| id | DE-604.BV013365669 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:44:34Z |
| institution | BVB |
| isbn | 052164660X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009116853 |
| oclc_num | 245841530 |
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| physical | VII, 154 S. |
| publishDate | 2000 |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society lecture note series |
| series2 | London Mathematical Society: London Mathematical Society lecture note series |
| spelling | Peterfalvi, Thomas Verfasser aut Théorie des charactéres dans le théoreme de Feit et Thompson[u.a.] Character theory for the odd order theorem Thomas Peterfalvi Cambridge Cambridge Univ. Press 2000 VII, 154 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society lecture note series 272 Aus d. Franz. übers. Endliche Gruppe - Charakter <Gruppentheorie> - Feit-Thompson-Theorem Charakter Gruppentheorie (DE-588)4158438-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Feit-Thompson-Theorem (DE-588)4391595-4 gnd rswk-swf Feit-Thompson-Theorem (DE-588)4391595-4 s Endliche Gruppe (DE-588)4014651-0 s Charakter Gruppentheorie (DE-588)4158438-7 s DE-604 London Mathematical Society: London Mathematical Society lecture note series 272 (DE-604)BV000000130 272 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009116853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Peterfalvi, Thomas Character theory for the odd order theorem London Mathematical Society: London Mathematical Society lecture note series Endliche Gruppe - Charakter <Gruppentheorie> - Feit-Thompson-Theorem Charakter Gruppentheorie (DE-588)4158438-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd Feit-Thompson-Theorem (DE-588)4391595-4 gnd |
| subject_GND | (DE-588)4158438-7 (DE-588)4014651-0 (DE-588)4391595-4 |
| title | Character theory for the odd order theorem |
| title_alt | Théorie des charactéres dans le théoreme de Feit et Thompson[u.a.] |
| title_auth | Character theory for the odd order theorem |
| title_exact_search | Character theory for the odd order theorem |
| title_full | Character theory for the odd order theorem Thomas Peterfalvi |
| title_fullStr | Character theory for the odd order theorem Thomas Peterfalvi |
| title_full_unstemmed | Character theory for the odd order theorem Thomas Peterfalvi |
| title_short | Character theory for the odd order theorem |
| title_sort | character theory for the odd order theorem |
| topic | Endliche Gruppe - Charakter <Gruppentheorie> - Feit-Thompson-Theorem Charakter Gruppentheorie (DE-588)4158438-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd Feit-Thompson-Theorem (DE-588)4391595-4 gnd |
| topic_facet | Endliche Gruppe - Charakter <Gruppentheorie> - Feit-Thompson-Theorem Charakter Gruppentheorie Endliche Gruppe Feit-Thompson-Theorem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009116853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
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