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The isomorphism problem in Coxeter groups

Author: C Patrick Bahls
Publisher: London : Imperial College Press, ©2005.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Bahls, C. Patrick.
Isomorphism problem in Coxeter groups.
London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific, ©2005
(DLC) 2005482036
(OCoLC)60748878
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: C Patrick Bahls
ISBN: 1860947190 9781860947193 9781860945540 1860945546
OCLC Number: 232159981
Description: 1 online resource (xiv, 176 pages) : illustrations
Contents: 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.
Responsibility: Patrick Bahls.

Abstract:

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.

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"This well-written book presents many classes of Coxeter groups for which the isomorphism problem is solved. It provides an introduction to many if not all of the techniques that have been used in Read more...

 
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