Quilts : central extensions, braid actions, and finite groups
Author(s)
Bibliographic Information
Quilts : central extensions, braid actions, and finite groups
(Lecture notes in mathematics, 1731)
Springer, c2000
Available at 78 libraries
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Note
Includes bibliographical references (p. [179]-182) and index
Description and Table of Contents
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.
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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