The quadratic isoperimetric inequality for mapping tori of free group automorphisms:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2010
|
| Series: | Memoirs of the American Mathematical Society
955 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 203, number 955 (fourth of 5 numbers)" Literaturverz. S. 149 - 150 |
| Physical Description: | XII, 152 S. graph. Darst. |
| ISBN: | 9780821846315 |
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MARC
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| 245 | 1 | 0 | |a The quadratic isoperimetric inequality for mapping tori of free group automorphisms |c Martin R. Bridson ; Daniel Groves |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2010 | |
| 300 | |a XII, 152 S. |b graph. Darst. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 955 | |
| 500 | |a "Volume 203, number 955 (fourth of 5 numbers)" | ||
| 500 | |a Literaturverz. S. 149 - 150 | ||
| 650 | 4 | |a Automorphisms | |
| 650 | 4 | |a Cancellation theory (Group theory) | |
| 650 | 4 | |a Geometric group theory | |
| 650 | 4 | |a Isoperimetric inequalities | |
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Record in the Search Index
| _version_ | 1804141065814409216 |
|---|---|
| adam_text | Contents
Introduction
ix
Acknowledgements
xii
Part
1,
Positive Automorphisms
1
1.1.
Van
Kampen
diagrams
3
1.2.
Singularities and bounded cancellation
7
1.3.
Past, future and colour
10
1.4.
Strategy, strata and conditioning
12
1.5.
Preferred futures, fast letters and cancellation
14
1.6.
Counting non-constant letters
17
1.7.
The bound on
£
|At(db,M)|and
£
Α3(ϋο,μ)
22
S
Ѕ
1.8.
The pleasingly rapid consumption of colours
26
1.9-
Teams and their associates
37
1.10.
The Bonus Scheme
51
1.11.
The proof of Theorem
С
58
1.12.
Glossary of constants
59
Part
2.
Train, Tracks and the Beaded Decomposition
61
2.1.
Improved relative train track maps
63
2.2.
Hard splittings
68
2.3.
A small reduction
71
2.4.
Nibbled futures
72
2.5.
Passing to an iterate of
ƒ 81
2.6.
The nibbled futures of GEPs
83
2.7.
Proof of the Beaded Decomposition Theorem
88
2.8.
Refinements of the Beaded Decomposition Theorem
88
Part
3.
The General Case
93
3.1.
The structure of diagrams
95
3.2.
Adapting diagrams to the beaded decomposition
98
3.3.
Linear bounds on the length of corridors
100
3.4.
Replacing
ƒ
by a suitable iterate
100
3.5.
Preferred futures of beads
103
3.6.
Counting fast beads
107
3.7.
HNP-canceliation and reapers
110
3.8.
Non-fast and unbounded beads
118
3.9.
The pleasingly rapid disappearance of colours
121
3.10.
Teams
131
vi
CONTENTS
3.11.
The Bonus Scheme
138
3.12.
Prom bead norm to length
139
3.13.
Corridor length functions and bracketing
141
3.14.
On a result of
Brinkmann 145
Bibliography
149
Index
151
|
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| author | Bridson, Martin R. 1964- Groves, Daniel 1974- |
| author_GND | (DE-588)121157423 (DE-588)140502041 |
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| author_sort | Bridson, Martin R. 1964- |
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| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)458737746 (DE-599)OBVAC07978163 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036038383 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:09:57Z |
| institution | BVB |
| isbn | 9780821846315 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018930311 |
| oclc_num | 458737746 |
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| owner_facet | DE-355 DE-BY-UBR DE-29T DE-384 DE-83 |
| physical | XII, 152 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Bridson, Martin R. 1964- Verfasser (DE-588)121157423 aut The quadratic isoperimetric inequality for mapping tori of free group automorphisms Martin R. Bridson ; Daniel Groves Providence, RI American Math. Soc. 2010 XII, 152 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 955 "Volume 203, number 955 (fourth of 5 numbers)" Literaturverz. S. 149 - 150 Automorphisms Cancellation theory (Group theory) Geometric group theory Isoperimetric inequalities Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Automorphismus (DE-588)4143709-3 gnd rswk-swf Isoperimetrische Ungleichung (DE-588)4162544-4 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 s Isoperimetrische Ungleichung (DE-588)4162544-4 s Automorphismus (DE-588)4143709-3 s DE-604 Groves, Daniel 1974- Verfasser (DE-588)140502041 aut Memoirs of the American Mathematical Society 955 (DE-604)BV008000141 955 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930311&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bridson, Martin R. 1964- Groves, Daniel 1974- The quadratic isoperimetric inequality for mapping tori of free group automorphisms Memoirs of the American Mathematical Society Automorphisms Cancellation theory (Group theory) Geometric group theory Isoperimetric inequalities Geometrische Gruppentheorie (DE-588)4651615-3 gnd Automorphismus (DE-588)4143709-3 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd |
| subject_GND | (DE-588)4651615-3 (DE-588)4143709-3 (DE-588)4162544-4 |
| title | The quadratic isoperimetric inequality for mapping tori of free group automorphisms |
| title_auth | The quadratic isoperimetric inequality for mapping tori of free group automorphisms |
| title_exact_search | The quadratic isoperimetric inequality for mapping tori of free group automorphisms |
| title_full | The quadratic isoperimetric inequality for mapping tori of free group automorphisms Martin R. Bridson ; Daniel Groves |
| title_fullStr | The quadratic isoperimetric inequality for mapping tori of free group automorphisms Martin R. Bridson ; Daniel Groves |
| title_full_unstemmed | The quadratic isoperimetric inequality for mapping tori of free group automorphisms Martin R. Bridson ; Daniel Groves |
| title_short | The quadratic isoperimetric inequality for mapping tori of free group automorphisms |
| title_sort | the quadratic isoperimetric inequality for mapping tori of free group automorphisms |
| topic | Automorphisms Cancellation theory (Group theory) Geometric group theory Isoperimetric inequalities Geometrische Gruppentheorie (DE-588)4651615-3 gnd Automorphismus (DE-588)4143709-3 gnd Isoperimetrische Ungleichung (DE-588)4162544-4 gnd |
| topic_facet | Automorphisms Cancellation theory (Group theory) Geometric group theory Isoperimetric inequalities Geometrische Gruppentheorie Automorphismus Isoperimetrische Ungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018930311&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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