Quilts: Central Extensions, Braid Actions, and Finite Groups

Paperback Engels 2000 2000e druk 9783540673972
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Samenvatting

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.

Specificaties

ISBN13:9783540673972
Taal:Engels
Bindwijze:paperback
Aantal pagina's:190
Uitgever:Springer Berlin Heidelberg
Druk:2000

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Inhoudsopgave

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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        Quilts: Central Extensions, Braid Actions, and Finite Groups