Topics in combinatorial group theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1993
|
| Schriftenreihe: | Lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 164 S. |
| ISBN: | 3764329211 0817629211 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804122701023936512 |
|---|---|
| adam_text | Contents
Preface VII
Acknowledgements VII
Chapter I History
1. Introduction 1
2. The beginnings 1
3. Finitely presented groups 2
4. More history 5
5. Higman s marvellous theorem 8
6. Varieties of groups 9
7. Small Cancellation Theory 14
Chapter II The Weak Burnside Problem
1. Introduction 17
2. The Grigorchuk Gupta Sidki groups 19
3. An application to associative algebras 27
Chapter III Free groups, the calculus of presentations and
the method of Reidemeister and Schreier
1. Frobenius representation 29
2. Semidirect products 33
3. Subgroups of free groups are free 37
4. The calculus of presentations 47
5. The calculus of presentations (continued) 49
6. The Reidemeister Schreier method 55
7. Generalized free products 58
vi Contents
Chapter IV Recursively presented groups, word problems and
some applications of the Reidemeister Schreier method
1. Recursively presented groups 61
2. Some word problems 63
3. Groups with free subgroups 64
Chapter V Affine algebraic sets and the representative theory
of finitely generated groups
1. Background 75
2. Some basic algebraic geometry 76
3. More basic algebraic geometry 80
4. Useful notions from topology 82
5. Morphisms 85
6. Dimension 90
7. Representations of the free group of rank two in SL(2,C) 93
8. Affine algebraic sets of characters 99
Chapter VI Generalized free products and HNN extensions
1. Applications 103
2. Back to basics ¦. 107
3. More applicatons Ill
4. Some word, conjugacy and isomorphism problems 120
Chapter VII Groups acting on trees
1. Basic definitions 123
2. Covering space theory 129
3. Graphs of groups 131
4. Trees 134
5. The fundamental group of a graph of groups 137
6. The fundamental group of a graph of groups (continued) 139
7. Group actions and graphs of groups 143
8. Universal covers 147
9. The proof of Theorem 2 153
10. Some consequences of Theorem 2 and 3 154
11. The tree of SL2 158
Index 163
|
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| discipline | Informatik Mathematik |
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| id | DE-604.BV008309046 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:18:03Z |
| institution | BVB |
| isbn | 3764329211 0817629211 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005489036 |
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| physical | VI, 164 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
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| series2 | Lectures in mathematics |
| spelling | Baumslag, Gilbert 1933-2014 Verfasser (DE-588)1065372957 aut Topics in combinatorial group theory Gilbert Baumslag Basel [u.a.] Birkhäuser 1993 VI, 164 S. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd rswk-swf Kombinatorische Gruppentheorie (DE-588)4219556-1 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005489036&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baumslag, Gilbert 1933-2014 Topics in combinatorial group theory Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| subject_GND | (DE-588)4219556-1 |
| title | Topics in combinatorial group theory |
| title_auth | Topics in combinatorial group theory |
| title_exact_search | Topics in combinatorial group theory |
| title_full | Topics in combinatorial group theory Gilbert Baumslag |
| title_fullStr | Topics in combinatorial group theory Gilbert Baumslag |
| title_full_unstemmed | Topics in combinatorial group theory Gilbert Baumslag |
| title_short | Topics in combinatorial group theory |
| title_sort | topics in combinatorial group theory |
| topic | Kombinatorische Gruppentheorie (DE-588)4219556-1 gnd |
| topic_facet | Kombinatorische Gruppentheorie |
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