Quilts: Central Extensions, Braid Actions, and Finite Groups

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 widel...

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Bibliographic Details
Main Author: Hsu, Tim
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2000, 2000
Edition:1st ed. 2000
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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