Symmetric automorphisms of free products:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1996
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
582 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 122, Number 582 (second of 5 numbers) |
| Physical Description: | VIII, 97 S. graph. Darst. |
| ISBN: | 0821804596 |
Staff View
MARC
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| 245 | 1 | 0 | |a Symmetric automorphisms of free products |c Darryl McCullough ; Andy Miller |
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Record in the Search Index
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| adam_text | Table of Contents
Abstract viii
Introduction 1
§1 Whitehead posets and symmetric Whitehead automorphisms 9
1.1 Based partitions and the Whitehead poset 9
1.2 Symmetric Whitehead automorphisms 13
1.3 Labelled bipartite trees 14
§2 The complexes K(G) and K0{G) 18
2.1 The complex K(G) 18
2.2 Symmetric automorphisms and the subcomplex K0(G) 20
2.3 Examples small values of n 22
2.4 Free products with decomposable factors 23
§3 Lemmas of reductivity 26
3.1 Refinement, disjunction and compatibility of based partitions ... 26
3.2 The factorization and existence lemmas 30
3.3 The Collins Zieschang Lemma 32
§4 Contractibility of K0(G) 34
4.1 Poset lemmas 34
4.2 Proof of contractibility 35
4.3 The subcomplexes Kmin(W) 45
§5 The vertex stabilizers and other subgroups of Aut(G) 46
5.1 Subgroups of symmetric automorphisms 47
5.2 The vertex stabilizers j_ 48
5.3 The homomorphisms ip and ip 53
§6 Applications to groups of automorphisms 58
6.1 The groups L(G) and L{G) 59
6.2 Torsion free subgroups 61
6.3 Virtual cohomological dimension 65
6.4 Virtually geometrically finite automorphism groups 68
6.5 Euler characteristic 69
§7 Finite groups of automorphisms 72
§8 Actions on H trees 81
8.1 Ideal simplicial complexes 81
8.2 A space of actions on simplicial M trees 84
8.3 The Gromov topology 91
References 95
|
| any_adam_object | 1 |
| author | McCullough, Darryl 1951- Miller, Andy |
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| bvnumber | BV010905114 |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010905114 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:00:54Z |
| institution | BVB |
| isbn | 0821804596 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007293731 |
| oclc_num | 246282532 |
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| owner_facet | DE-355 DE-BY-UBR DE-12 DE-824 DE-739 DE-384 DE-29T DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | VIII, 97 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | McCullough, Darryl 1951- Verfasser (DE-588)172243947 aut Symmetric automorphisms of free products Darryl McCullough ; Andy Miller Providence, RI American Math. Soc. 1996 VIII, 97 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 582 Volume 122, Number 582 (second of 5 numbers) Freies Produkt (DE-588)4155302-0 gnd rswk-swf Automorphismus (DE-588)4143709-3 gnd rswk-swf Freies Produkt (DE-588)4155302-0 s Automorphismus (DE-588)4143709-3 s DE-604 Miller, Andy Verfasser aut American Mathematical Society: Memoirs of the American Mathematical Society 582 (DE-604)BV008000141 582 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293731&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | McCullough, Darryl 1951- Miller, Andy Symmetric automorphisms of free products American Mathematical Society: Memoirs of the American Mathematical Society Freies Produkt (DE-588)4155302-0 gnd Automorphismus (DE-588)4143709-3 gnd |
| subject_GND | (DE-588)4155302-0 (DE-588)4143709-3 |
| title | Symmetric automorphisms of free products |
| title_auth | Symmetric automorphisms of free products |
| title_exact_search | Symmetric automorphisms of free products |
| title_full | Symmetric automorphisms of free products Darryl McCullough ; Andy Miller |
| title_fullStr | Symmetric automorphisms of free products Darryl McCullough ; Andy Miller |
| title_full_unstemmed | Symmetric automorphisms of free products Darryl McCullough ; Andy Miller |
| title_short | Symmetric automorphisms of free products |
| title_sort | symmetric automorphisms of free products |
| topic | Freies Produkt (DE-588)4155302-0 gnd Automorphismus (DE-588)4143709-3 gnd |
| topic_facet | Freies Produkt Automorphismus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007293731&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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