Exponential genus problems in one-relator products of groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
2007
|
| Series: | Memoirs of the American Mathematical Society
873 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 186, number 873 (third of five numbers.)" |
| Physical Description: | VII, 156 S. graph. Darst. |
| ISBN: | 9780821839454 0821839454 |
Staff View
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| 100 | 1 | |a Duncan, Andrew J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Exponential genus problems in one-relator products of groups |c A. J. Duncan |
| 264 | 1 | |a Providence, RI |b AMS |c 2007 | |
| 300 | |a VII, 156 S. |b graph. Darst. | ||
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| 650 | 4 | |a Free products (Group theory) | |
| 650 | 4 | |a Geometric group theory | |
| 650 | 4 | |a Statistical decision | |
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Record in the Search Index
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| adam_text | Contents
Chapter 1. Introduction 1
Chapter 2. Quadratic Words 5
Chapter 3. Quadratic Exponential Equations and £ genus 9
1. Quadratic Exponential Equations 9
2. Quadratic Equations and Genus 14
Chapter 4. Resolutions of Quadratic Equations 19
Chapter 5. Decision Problems 31
1. Decision Problems and Quadratic Exponential Equations 31
2. Decision Problems in Free Products and One Relator Products 35
Chapter 6. Pictures 41
1. Sketches and Pictures 41
2. Boundary Intervals 44
3. Bridge Moves and Vertex Cancellation 45
4. Parallel Arcs and the Graph of a Picture 49
5. Routes and Distance 52
6. Pictures and Equations 53
Chapter 7. Corridors 57
1. Square Pictures and Corridors 57
2. Z Cancellation 68
3. Corridor Sections 72
4. Z Insertion 74
5. The Z Graph 75
Chapter 8. Angle assignment 79
Chapter 9. Curvature 87
Chapter 10. Configurations C 95
Chapter 11. Configurations D 101
Chapter 12. Final Angle Adjustment 135
Chapter 13. Isoperimetry 143
Chapter 14. Proof of Theorem 5.9 147
V
vi CONTENTS
Bibliography 155
|
| adam_txt |
Contents
Chapter 1. Introduction 1
Chapter 2. Quadratic Words 5
Chapter 3. Quadratic Exponential Equations and £ genus 9
1. Quadratic Exponential Equations 9
2. Quadratic Equations and Genus 14
Chapter 4. Resolutions of Quadratic Equations 19
Chapter 5. Decision Problems 31
1. Decision Problems and Quadratic Exponential Equations 31
2. Decision Problems in Free Products and One Relator Products 35
Chapter 6. Pictures 41
1. Sketches and Pictures 41
2. Boundary Intervals 44
3. Bridge Moves and Vertex Cancellation 45
4. Parallel Arcs and the Graph of a Picture 49
5. Routes and Distance 52
6. Pictures and Equations 53
Chapter 7. Corridors 57
1. Square Pictures and Corridors 57
2. Z Cancellation 68
3. Corridor Sections 72
4. Z Insertion 74
5. The Z Graph 75
Chapter 8. Angle assignment 79
Chapter 9. Curvature 87
Chapter 10. Configurations C 95
Chapter 11. Configurations D 101
Chapter 12. Final Angle Adjustment 135
Chapter 13. Isoperimetry 143
Chapter 14. Proof of Theorem 5.9 147
V
vi CONTENTS
Bibliography 155 |
| any_adam_object | 1 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:04:47Z |
| indexdate | 2024-07-09T20:56:02Z |
| institution | BVB |
| isbn | 9780821839454 0821839454 |
| language | English |
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| physical | VII, 156 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | AMS |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Duncan, Andrew J. Verfasser aut Exponential genus problems in one-relator products of groups A. J. Duncan Providence, RI AMS 2007 VII, 156 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 873 "Volume 186, number 873 (third of five numbers.)" Equações larpcal Groepentheorie gtt Grupos finitos larpcal Kwadratische systemen gtt Statistische methoden gtt Topologia de dimensão baixa larpcal Equations, Quadratic Free products (Group theory) Geometric group theory Statistical decision Quadratische Gleichung (DE-588)4198918-1 gnd rswk-swf Statistische Entscheidungstheorie (DE-588)4077850-2 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 gnd rswk-swf Geometrische Gruppentheorie (DE-588)4651615-3 s Statistische Entscheidungstheorie (DE-588)4077850-2 s Quadratische Gleichung (DE-588)4198918-1 s DE-604 Memoirs of the American Mathematical Society 873 (DE-604)BV008000141 873 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015574078&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Duncan, Andrew J. Exponential genus problems in one-relator products of groups Memoirs of the American Mathematical Society Equações larpcal Groepentheorie gtt Grupos finitos larpcal Kwadratische systemen gtt Statistische methoden gtt Topologia de dimensão baixa larpcal Equations, Quadratic Free products (Group theory) Geometric group theory Statistical decision Quadratische Gleichung (DE-588)4198918-1 gnd Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| subject_GND | (DE-588)4198918-1 (DE-588)4077850-2 (DE-588)4651615-3 |
| title | Exponential genus problems in one-relator products of groups |
| title_auth | Exponential genus problems in one-relator products of groups |
| title_exact_search | Exponential genus problems in one-relator products of groups |
| title_exact_search_txtP | Exponential genus problems in one-relator products of groups |
| title_full | Exponential genus problems in one-relator products of groups A. J. Duncan |
| title_fullStr | Exponential genus problems in one-relator products of groups A. J. Duncan |
| title_full_unstemmed | Exponential genus problems in one-relator products of groups A. J. Duncan |
| title_short | Exponential genus problems in one-relator products of groups |
| title_sort | exponential genus problems in one relator products of groups |
| topic | Equações larpcal Groepentheorie gtt Grupos finitos larpcal Kwadratische systemen gtt Statistische methoden gtt Topologia de dimensão baixa larpcal Equations, Quadratic Free products (Group theory) Geometric group theory Statistical decision Quadratische Gleichung (DE-588)4198918-1 gnd Statistische Entscheidungstheorie (DE-588)4077850-2 gnd Geometrische Gruppentheorie (DE-588)4651615-3 gnd |
| topic_facet | Equações Groepentheorie Grupos finitos Kwadratische systemen Statistische methoden Topologia de dimensão baixa Equations, Quadratic Free products (Group theory) Geometric group theory Statistical decision Quadratische Gleichung Statistische Entscheidungstheorie Geometrische Gruppentheorie |
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| volume_link | (DE-604)BV008000141 |
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