Quilts: Central Extensions, Braid Actions, and Finite Groups

Quilts: Central Extensions, Braid Actions, and Finite Groups
ISBN-10
3540455809
ISBN-13
9783540455806
Series
Quilts
Category
Mathematics
Pages
190
Language
English
Published
2007-05-06
Publisher
Springer
Author
Tim Hsu

Description

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 extensions, 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 methods and results may be relevant to researchers interested in infinite groups, moonshine, central extensions, triangle groups, dessins d'enfants, and monodromy actions of braid groups.

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