Finite group theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge u.a.
Cambridge Univ. Press
1993
|
| Edition: | 1. paperback ed. |
| Series: | Cambridge studies in advanced mathematics
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 274 S. |
| ISBN: | 0521303419 0521458269 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804123326458626048 |
|---|---|
| adam_text | CONTENTS PREFACE VII 1 PRELIMINARY RESULTS 1 1 ELEMENTARY GROUP THEORY 1
2 CATEGORIES 6 3 GRAPHS AND GEOMETRIES 8 4 ABSTRACT REPRESENTATIONS 9 2
PERMUTATION REPRESENTATIONS 13 5 PERMUTATION REPRESENTATIONS 13 6
SYLOW S THEOREM 19 3 REPRESENTATIONS OF GROUPS ON GROUPS 22 7 NORMAL
SERIES 22 8 CHARACTERISTIC SUBGROUPS AND COMMUTATORS 25 9 SOLVABLE AND
NILPOTENT GROUPS 27 10 SEMIDIRECT PRODUCTS 29 11 CENTRAL PRODUCTS AND
WREATH PRODUCTS 32 4 LINEAR REPRESENTATIONS 35 12 MODULES OVER THE GROUP
RING 35 13 THE GENERAL LINEAR GROUP AND SPECIAL LINEAR GROUP 42 14 THE
DUAL REPRESENTATION 46 5 PERMUTATION GROUPS 53 15 THE SYMMETRIC AND
ALTERNATING GROUPS 53 16 RANK 3 PERMUTATION GROUPS 59 6 EXTENSIONS OF
GROUPS AND MODULES 64 17 1-COHOMOLOGY 64 18 COPRIME ACTION 70 7 SPACES
WITH FORMS 75 19 BILINEAR, SESQUILINEAR, AND QUADRATIC FORMS 75 20
WITT S LEMMA 81 21 SPACES OVER FINITE FIELDS 85 22 THE CLASSICAL GROUPS
88 8 P-GROUPS 105 23 EXTREMAL P-GROUPS 105 24 COPRIME ACTION ON P-GROUPS
112 9 CHANGE OF FIELD OF A LINEAR REPRESENTATION 117 25 TENSOR PRODUCTS
117 26 REPRESENTATIONS OVER FINITE FIELDS 123 27 MINIMAL POLYNOMIALS 126
10 PRESENTATIONS OF GROUPS 138 28 FREE GROUPS 138 29 COXETER GROUPS 141
30 ROOT SYSTEMS 148 11 THE GENERALIZED FITTING SUBGROUP 156 31 THE
GENERALIZED FITTING SUBGROUP 157 32 THOMPSON FACTORIZATION 162 33
CENTRAL EXTENSIONS 166 12 LINEAR REPRESENTATIONS OF FINITE GROUPS 177 34
CHARACTERS IN COPRIME CHARACTERISTIC 178 35 CHARACTERS IN CHARACTERISTIC
ZERO 181 36 SOME SPECIAL ACTIONS 192 13 TRANSFER AND FUSION 197 37
TRANSFER 197 38 ALPERIN S FUSION THEOREM 200 39 NORMAL P-COMPLEMENTS 202
40 SEMIREGULAR ACTION 205 14 THE GEOMETRY OF GROUPS OF LIE TYPE 208 41
COMPLEXES 208 42 BUILDINGS 214 43 BN-PAIRS AND TITS SYSTEMS 217 15
SIGNALIZER FUNCTORS 228 44 SOLVABLE SIGNALIZER FUNCTORS 228 16 FINITE
SIMPLE GROUPS 241 45 INVOLUTIONS IN FINITE GROUPS 242 46 CONNECTED
GROUPS 244 47 THE FINITE SIMPLE GROUPS 249 48 AN OUTLINE OF THE
CLASSIFICATION THEOREM 258 REFERENCES 267 LIST OF SYMBOLS 269 INDEX 271
|
| any_adam_object | 1 |
| author | Aschbacher, Michael 1944- |
| author_GND | (DE-588)142400955 |
| author_facet | Aschbacher, Michael 1944- |
| author_role | aut |
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| author_variant | m a ma |
| building | Verbundindex |
| bvnumber | BV008985925 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)318330255 (DE-599)BVBBV008985925 |
| dewey-full | 512.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.24 |
| dewey-search | 512.24 |
| dewey-sort | 3512.24 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. paperback ed. |
| format | Book |
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| id | DE-604.BV008985925 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:28:00Z |
| institution | BVB |
| isbn | 0521303419 0521458269 |
| language | English |
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| physical | IX, 274 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Aschbacher, Michael 1944- Verfasser (DE-588)142400955 aut Finite group theory Michael Aschbacher 1. paperback ed. Cambridge u.a. Cambridge Univ. Press 1993 IX, 274 S. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 10 Grupos finitos Teoría de los grupos Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Gruppentheorie (DE-588)4072157-7 s 1\p DE-604 Cambridge studies in advanced mathematics 10 (DE-604)BV000003678 10 OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005935802&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Aschbacher, Michael 1944- Finite group theory Cambridge studies in advanced mathematics Grupos finitos Teoría de los grupos Gruppentheorie (DE-588)4072157-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4072157-7 (DE-588)4014651-0 |
| title | Finite group theory |
| title_auth | Finite group theory |
| title_exact_search | Finite group theory |
| title_full | Finite group theory Michael Aschbacher |
| title_fullStr | Finite group theory Michael Aschbacher |
| title_full_unstemmed | Finite group theory Michael Aschbacher |
| title_short | Finite group theory |
| title_sort | finite group theory |
| topic | Grupos finitos Teoría de los grupos Gruppentheorie (DE-588)4072157-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Grupos finitos Teoría de los grupos Gruppentheorie Endliche Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005935802&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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