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Quilts: Central Extensions, Braid Actions, and Finite Groups

  • Editors
  • Tim Hsu

Part of the Lecture Notes in Mathematics book series (LNM, volume 1731)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Tim Hsu
    Pages 1-8
  3. Tim Hsu
    Pages 9-26
  4. Tim Hsu
    Pages 28-53
  5. Tim Hsu
    Pages 55-70
  6. Tim Hsu
    Pages 71-79
  7. Tim Hsu
    Pages 81-91
  8. Tim Hsu
    Pages 119-125
  9. Tim Hsu
    Pages 127-131
  10. Tim Hsu
    Pages 157-178
  11. Back Matter
    Pages 179-186

About this book

Introduction

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.

Keywords

Combinatorics Finite Fuchsian groups Microsoft Access Monodromy braid groups central extensions finite group finite groups form group presentation time

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0103892
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67397-2
  • Online ISBN 978-3-540-45580-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site