Quilts: Central Extensions, Braid Actions, and Finite Groups / Edition 1

Quilts: Central Extensions, Braid Actions, and Finite Groups / Edition 1

by Tim Hsu, T. Hsu
     
 

Quilts are 2-complexes used to analyze actions and subgroups of the 3- string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensio ns, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first

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Overview

Quilts are 2-complexes used to analyze actions and subgroups of the 3- string braid group and similar groups. This monograph establishes the fundamentals of quilts and discusses connections with central extensio ns, braid actions, and finite groups. Most results have not previously appeared in a widely available form, and many results appear in print for the first time. This monograph is accessible to graduate students , as a substantial amount of background material is included. The meth ods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfa nts, and monodromy actions of braid groups.

Product Details

ISBN-13:
9783540673972
Publisher:
Springer Berlin Heidelberg
Publication date:
06/08/2000
Series:
Lecture Notes in Mathematics Series, #1731
Edition description:
2000
Pages:
190
Product dimensions:
5.86(w) x 9.22(h) x 0.41(d)

Table of Contents

Background material.- Quilts.- Norton systems and their quilts.- Examples of quilts.- The combinatorics of quilts.- Classical interpretations of quilts.- Presentations and the structure problem.- Small snug quilts.- Monodromy systems.- Quilts for groups involved in the monster.- Some results on the structure problem.- Further directions.

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