3-manifold groups are virtually residually p:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2013
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
1058 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 225, Number 1058 (third of 4 numbers) |
| Beschreibung: | VII, 100 S. |
| ISBN: | 9780821888018 |
Internformat
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| 245 | 1 | 0 | |a 3-manifold groups are virtually residually p |c Matthias Aschenbrenner ; Stefan Friedl |
| 246 | 1 | 3 | |a Three-manifold groups are virtually residually p |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2013 | |
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Datensatz im Suchindex
| _version_ | 1804151364062806016 |
|---|---|
| adam_text | Titel: 3-manifold groups are virtually residually p
Autor: Aschenbrenner, Matthias
Jahr: 2013
Contents
Introduction 1
The main result 1
Applications 3
Properties of linear groups and 3-manifold groups 3
Outline of the proof strategy 4
A more general theorem? 6
Graph manifolds 7
Guide for the reader 8
Conventions and notations 8
Acknowledgments 8
Chapter 1. Preliminaries 9
1.1. Filtrations of groups 9
1.2. Graphs of groups 17
Chapter 2. Embedding Theorems for p-Groups 29
2.1. An amalgamation theorem for filtered p-groups 29
2.2. Extending partial automorphisms to inner automorphisms 39
Chapter 3. Residual Properties of Graphs of Groups 43
3.1. Root properties and fundamental groups of graphs of groups 43
3.2. A criterion for being residually p 49
3.3. Unfolding a graph of groups 53
3.4. A criterion for being virtually residually p 57
Chapter 4. Proof of the Main Results 61
4.1. p-compatible filtrations 61
4.2. p-compatible filtrations of linear groups 63
4.3. Proof of the main theorem 68
4.4. A localization theorem 73
4.5. Fibered 3-manifolds 78
Chapter 5. The Case of Graph Manifolds 81
5.1. p-efficiency 81
5.2. Cohomological p- c om pie ten ess 84
5.3. Virtual p-efficiency for arbitrary 3-manifolds? 86
5.4. The mod p homology graph 90
Bibliography 93
Index 99
|
| any_adam_object | 1 |
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| bvnumber | BV041296959 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)862804724 (DE-599)BVBBV041296959 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV041296959 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:53:38Z |
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| isbn | 9780821888018 |
| language | English |
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| physical | VII, 100 S. |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Aschenbrenner, Matthias 1972- Verfasser (DE-588)1041944004 aut 3-manifold groups are virtually residually p Matthias Aschenbrenner ; Stefan Friedl Three-manifold groups are virtually residually p Providence, RI American Math. Soc. 2013 VII, 100 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 1058 Volume 225, Number 1058 (third of 4 numbers) Dimension 3 (DE-588)4321722-9 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 s Mannigfaltigkeit (DE-588)4037379-4 s Dimension 3 (DE-588)4321722-9 s DE-604 Friedl, Stefan 1973- Verfasser (DE-588)1041944462 aut Memoirs of the American Mathematical Society 1058 (DE-604)BV008000141 1058 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026745828&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aschenbrenner, Matthias 1972- Friedl, Stefan 1973- 3-manifold groups are virtually residually p Memoirs of the American Mathematical Society Dimension 3 (DE-588)4321722-9 gnd Gruppentheorie (DE-588)4072157-7 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4321722-9 (DE-588)4072157-7 (DE-588)4037379-4 |
| title | 3-manifold groups are virtually residually p |
| title_alt | Three-manifold groups are virtually residually p |
| title_auth | 3-manifold groups are virtually residually p |
| title_exact_search | 3-manifold groups are virtually residually p |
| title_full | 3-manifold groups are virtually residually p Matthias Aschenbrenner ; Stefan Friedl |
| title_fullStr | 3-manifold groups are virtually residually p Matthias Aschenbrenner ; Stefan Friedl |
| title_full_unstemmed | 3-manifold groups are virtually residually p Matthias Aschenbrenner ; Stefan Friedl |
| title_short | 3-manifold groups are virtually residually p |
| title_sort | 3 manifold groups are virtually residually p |
| topic | Dimension 3 (DE-588)4321722-9 gnd Gruppentheorie (DE-588)4072157-7 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Dimension 3 Gruppentheorie Mannigfaltigkeit |
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