Quilts : central extensions, braid actions, and finite groups

Author(s)

Bibliographic Information

Quilts : central extensions, braid actions, and finite groups

Tim Hsu

(Lecture notes in mathematics, 1731)

Springer, c2000

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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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Details

  • NCID
    BA46664421
  • ISBN
    • 3540673970
  • Country Code
    gw
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Berlin
  • Pages/Volumes
    xii, 185 p.
  • Size
    24 cm
  • Subject Headings
  • Parent Bibliography ID
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