1.

Record Nr.

UNINA9910827663403321

Autore

Duncan A. J (Andrew James), <1954->

Titolo

Exponential genus problems in one-relator products of groups / / A. J. Duncan

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , 2007

©2007

ISBN

1-4704-0477-X

Descrizione fisica

1 online resource (170 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 186, Number 873

Classificazione

31.21

Disciplina

512/.2

Soggetti

Geometric group theory

Statistical decision

Free products (Group theory)

Equations, Quadratic

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 186, Number 873 (third of five numbers)."

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Quadratic Words""; ""Chapter 3. Quadratic Exponential Equations and L-genus""; ""1. Quadratic Exponential Equations""; ""2. Quadratic Equations and Genus""; ""Chapter 4. Resolutions of Quadratic Equations""; ""Chapter 5. Decision Problems""; ""1. Decision Problems and Quadratic Exponential Equations""; ""2. Decision Problems in Free Products and One-Relator Products""; ""Chapter 6. Pictures""; ""1. Sketches and Pictures""; ""2. Boundary Intervals""; ""3. Bridge Moves and Vertex Cancellation""

""4. Parallel Arcs and the Graph of a Picture""""5. Routes and Distance""; ""6. Pictures and Equations""; ""Chapter 7. Corridors""; ""1. Square Pictures and Corridors""; ""2. Z-Cancellation""; ""3. Corridor-Sections""; ""4. Z-Insertion""; ""5. The Z-Graph""; ""Chapter 8. Angle assignment""; ""Chapter 9. Curvature""; ""Chapter 10. Configurations C""; ""Chapter 11. Configurations D""; ""Chapter 12. Final Angle Adjustment""; ""Chapter 13. Isoperimetry""; ""Chapter 14. Proof of Theorem 5.9""; ""Bibliography""