1.

Record Nr.

UNINA9910451068503321

Autore

Bahls C. Patrick

Titolo

The isomorphism problem in Coxeter groups [[electronic resource] /] / Patrick Bahls

Pubbl/distr/stampa

London, : Imperial College Press, c2005

ISBN

1-281-86686-5

9786611866860

1-86094-719-0

Descrizione fisica

1 online resource (192 p.)

Disciplina

512.2

512/.2

Soggetti

Coxeter groups

Isomorphisms (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 171-173) and index.

Nota di contenuto

Preface; Contents; Chapter 1 Preliminaries on Coxeter groups; Chapter 2 Further properties of Coxeter groups; Chapter 3 Rigidity; Chapter 4 In the beginning: some early results; Chapter 5 Even Coxeter groups; Chapter 6 More general groups; Chapter 7 Refinements and generalizations: automorphisms and Artin groups; Bibliography; Index

Sommario/riassunto

The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics. The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the