A course in group theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
1996
|
| Series: | Oxford Science Publications
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 279 S. |
| ISBN: | 0198534531 0198534590 |
Staff View
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Record in the Search Index
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| adam_text | Contents
1 Definitions and examples 1
2 Maps and relations on sets 8
3 Elementary consequences of the definitions 18
4 Subgroups 30
5 Cosets and Lagrange s Theorem 38
6 Error correcting codes 49
7 Normal subgroups and quotient groups 59
8 The Homomorphism Theorem 68
9 Permutations 77
10 The Orbit Stabiliser Theorem 89
11 The Sylow Theorems 98
12 Applications of Sylow theory 106
13 Direct products 112
14 The classification of finite abelian groups 120
15 The Jordan Holder Theorem 128
16 Composition factors and chief factors 137
17 Soluble groups 146
18 Examples of soluble groups 155
19 Semidirect products and wreath products 163
20 Extensions 174
21 Central and cyclic extensions 183
22 Groups with at most 31 elements 192
23 The projective special linear groups 202
xii Contents
24 The Mathieu groups 213
25 The classification of finite simple groups 222
25.1 The classical groups 223
25.1.1 The projective special linear groups 223
25.1.2 The unitary groups 223
25.1.3 The symplectic groups 226
25.1.4 The orthogonal groups 228
25.2 Groups of Lie type 230
25.3 The sporadic groups 231
A Prerequisites from number theory and linear
algebra 234
A.I Number theory 234
A.2 Linear algebra and determinants 235
B Groups of order 32 238
C Solutions to exercises 243
Bibliography 275
Index 277
|
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| institution | BVB |
| isbn | 0198534531 0198534590 |
| language | English |
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| physical | XII, 279 S. |
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| spelling | Humphreys, John F. Verfasser aut A course in group theory John F. Humphreys Oxford [u.a.] Oxford Univ. Press 1996 XII, 279 S. txt rdacontent n rdamedia nc rdacarrier Oxford Science Publications Groupes finis ram Groupes, Théorie des ram Finite groups Group theory Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007199615&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Humphreys, John F. A course in group theory Groupes finis ram Groupes, Théorie des ram Finite groups Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| subject_GND | (DE-588)4072157-7 |
| title | A course in group theory |
| title_auth | A course in group theory |
| title_exact_search | A course in group theory |
| title_full | A course in group theory John F. Humphreys |
| title_fullStr | A course in group theory John F. Humphreys |
| title_full_unstemmed | A course in group theory John F. Humphreys |
| title_short | A course in group theory |
| title_sort | a course in group theory |
| topic | Groupes finis ram Groupes, Théorie des ram Finite groups Group theory Gruppentheorie (DE-588)4072157-7 gnd |
| topic_facet | Groupes finis Groupes, Théorie des Finite groups Group theory Gruppentheorie |
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