The classification of the finite simple groups: 1 Groups of noncharacteristic 2 type
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Plenum Press
1983
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| Schriftenreihe: | The university series in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 487 S. |
| ISBN: | 0306413051 |
Internformat
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| 245 | 1 | 0 | |a The classification of the finite simple groups |n 1 |p Groups of noncharacteristic 2 type |c Daniel Gorenstein |
| 264 | 1 | |a New York [u.a.] |b Plenum Press |c 1983 | |
| 300 | |a X, 487 S. | ||
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Datensatz im Suchindex
| _version_ | 1804141595920957440 |
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| adam_text | Contents
Introduction 1
1. Simple Groups of 2-Rank 2 13
1.1. Groups of Odd Order; The Uniqueness Theorem 13
1.2. Solvability of Groups of Odd Order 25
1.3. Groups with Dihedral Sylow 2-Subgroups 39
1.4. Groups with Quasi-Dihedral or Wreathed Sylow 2-Subgroups 54
1.5. Simple Groups of 2-Rank 2 70
2. Simple Groups of Low 2-Rank 73
2.1. Simple Groups with Specified Sylow 2-Subgroups;
General Considerations 74
2.2. Simple Groups with Sylow 2-Subgroups of Type G2(q)
or PSp4(q), q Odd 80
2.3. Other Types of Sylow 2-Subgroups 99
2.4. Groups of Sectional 2-Rank at Most 4;
General Considerations 116
2.5. An Extension of the Balanced, Connected Theorem 129
2.6. Specified 2-Subgroups of Small Index 136
2.7. Specified 2-Subgroups of Indeterminate Index 147
2.8. Other Low 2-Rank Problems 162
3. Centralizers of Involutions in Simple Groups 171
3.1. The fi-Theorem; General Considerations 173
3.2. A Special Case 177
3.3. Some History 187
ix
x Contents
3.4. Aschbacher s Component Theorem 200
3.5. The Groups of Lie Type of Odd Characteristic 211
3.6. Aschbacher s Classical Involution Theorem 222
3.7. The Generic Nonorthogonal Case 232
3.8. Special Configurations 243
4. The B-Theorem and Locally Unbalanced Groups 263
4.1. Unbalancing Triples of Odd Characteristic 263
4.2. Maximal 2-Components 267
4.3. Hypothesis 5 276
4.4. 2-Components of Alternating Type 280
4.5. Groups of Lie Type of Odd Characteristic and the
L2(q), A7 Problem 291
4.6. Small Unbalancing Triples 308
4.7. The Held and L3(4) Cases 321
5. The Classification of Groups of Component Type 335
5.1. An Overview of the Involution Standard Form Problem 338
5.2. The Major Case Division 348
5.3. The Bender Case 360
5.4. The Aschbacher-Seitz Reduction Theorem 368
5.5. The Case m(H) 2 382
5.6. The Alternating Case 400
5.7. The ^0(3) Case 412
5.8. The Nonlinear Lie Rank 2 Case 428
5.9. Two General Lie Type Characteristic 2 Theorems of Seitz . . . 435
5.10. The General Lie Type Characteristic 2 Case 443
5.11. The Remaining Cases over GF(2) and GF(4) 450
5.12. The Sporadic Cases 458
Conclusion 475
Bibliography 477
Index 483
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| id | DE-604.BV025742723 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:18:23Z |
| institution | BVB |
| isbn | 0306413051 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019347055 |
| oclc_num | 310638743 |
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| owner_facet | DE-11 |
| physical | X, 487 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Plenum Press |
| record_format | marc |
| series2 | The university series in mathematics |
| spelling | Gorenstein, Daniel Verfasser aut The classification of the finite simple groups 1 Groups of noncharacteristic 2 type Daniel Gorenstein New York [u.a.] Plenum Press 1983 X, 487 S. txt rdacontent n rdamedia nc rdacarrier The university series in mathematics Klassifikation (DE-588)4030958-7 gnd rswk-swf Endliche einfache Gruppe (DE-588)4123136-3 gnd rswk-swf Endliche einfache Gruppe (DE-588)4123136-3 s DE-604 Klassifikation (DE-588)4030958-7 s (DE-604)BV024974282 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019347055&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gorenstein, Daniel The classification of the finite simple groups Klassifikation (DE-588)4030958-7 gnd Endliche einfache Gruppe (DE-588)4123136-3 gnd |
| subject_GND | (DE-588)4030958-7 (DE-588)4123136-3 |
| title | The classification of the finite simple groups |
| title_auth | The classification of the finite simple groups |
| title_exact_search | The classification of the finite simple groups |
| title_full | The classification of the finite simple groups 1 Groups of noncharacteristic 2 type Daniel Gorenstein |
| title_fullStr | The classification of the finite simple groups 1 Groups of noncharacteristic 2 type Daniel Gorenstein |
| title_full_unstemmed | The classification of the finite simple groups 1 Groups of noncharacteristic 2 type Daniel Gorenstein |
| title_short | The classification of the finite simple groups |
| title_sort | the classification of the finite simple groups groups of noncharacteristic 2 type |
| topic | Klassifikation (DE-588)4030958-7 gnd Endliche einfache Gruppe (DE-588)4123136-3 gnd |
| topic_facet | Klassifikation Endliche einfache Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019347055&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV024974282 |
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