Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
January 2017
|
| Series: | Memoirs of the American Mathematical Society
1156 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 152 Seiten |
| ISBN: | 9781470421946 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Main results 5
2.1. Hyperbolically embedded subgroups 5
2.2. Rotating families. 9
2.3. Examples 12
2.4. Group theoretic Dehn filling 15
2.5. Applications 16
Chapter 3. Preliminaries 21
3.1. General conventions and notation 21
3.2. Hyperbolic spaces and group actions 22
3.3. Relative presentations and isoperimetric functions 23
Chapter 4. Generalizing relative hyperbolicity 27
4.1. Weak relative hyperbolicity and bounded presentations 27
4.2. Isolated components in geodesic polygons 33
4.3. Paths with long isolated components 41
4.4. Hyperbolically embedded subgroups 44
4.5. Projection complexes and geometrically separated subgroups 50
Chapter 5. Very rotating families 61
5.1. Rotating families and windmills 61
5.2. Quotient space by a very rotating family, hyperbolicity, isometries,
and acylindricity 73
5.3. Hyperbolic cone-off 77
Chapter 6. Examples 83
6.1. WPD elements and elementary subgroups 83
6.2. Hyperbolically embedded virtually free subgroups 90
6.3. Combination theorems 95
6.4. Rotating families from small cancellation subgroups 96
6.5. Back and forth 101
6.6. Some particular groups 108
Chapter 7. Dehn filling 111
7.1. Dehn filling via rotating families 111
7.2. Diagram surgery 116
7.3. The general case 120
Chapter 8. Applications 127
iii
iv CONTENTS
8.1. Largeness properties 127
8.2. Subgroups in mapping class groups and Out(Fn) 130
8.3. Inner amenability and C*-aIgebras 134
Chapter 9. Some open problems 139
References 143
Index
151
|
| any_adam_object | 1 |
| author | Dahmani, François 1973- Guirardel, Vincent 1973- Osin, Denis V. 1974- |
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| id | DE-604.BV044033410 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:41:43Z |
| institution | BVB |
| isbn | 9781470421946 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029440620 |
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| physical | v, 152 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
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| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Dahmani, François 1973- (DE-588)1125123958 aut Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces F. Dahmani, V. Guirardel, D. Osin Providence, Rhode Island American Mathematical Society January 2017 v, 152 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 245, number 1156 (1st of 6 numbers) Hyperbolischer Raum (DE-588)4161046-5 gnd rswk-swf Hyperbolische Gruppe (DE-588)4238166-6 gnd rswk-swf Hyperbolischer Raum (DE-588)4161046-5 s Hyperbolische Gruppe (DE-588)4238166-6 s DE-604 Guirardel, Vincent 1973- (DE-588)1125124237 aut Osin, Denis V. 1974- (DE-588)173812384 aut Erscheint auch als Online-Ausgabe 978-1-4704-3601-8 Memoirs of the American Mathematical Society 1156 (DE-604)BV008000141 1156 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029440620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dahmani, François 1973- Guirardel, Vincent 1973- Osin, Denis V. 1974- Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces Memoirs of the American Mathematical Society Hyperbolischer Raum (DE-588)4161046-5 gnd Hyperbolische Gruppe (DE-588)4238166-6 gnd |
| subject_GND | (DE-588)4161046-5 (DE-588)4238166-6 |
| title | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces |
| title_auth | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces |
| title_exact_search | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces |
| title_full | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces F. Dahmani, V. Guirardel, D. Osin |
| title_fullStr | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces F. Dahmani, V. Guirardel, D. Osin |
| title_full_unstemmed | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces F. Dahmani, V. Guirardel, D. Osin |
| title_short | Hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces |
| title_sort | hyperbolically embedded subgroups and rotating families in groups acting an hyperbolic spaces |
| topic | Hyperbolischer Raum (DE-588)4161046-5 gnd Hyperbolische Gruppe (DE-588)4238166-6 gnd |
| topic_facet | Hyperbolischer Raum Hyperbolische Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029440620&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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