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Quilts: Central Extensions, Braid Actions, and Finite Groups

  • Book
  • © 2000

Overview

Editors:
  1. Tim Hsu
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1731)

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Table of contents (13 chapters)

  1. Front Matter

    Pages I-XII
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  2. Introduction

    • Tim Hsu
    Pages 1-8

  3. Background material

    • Tim Hsu
    Pages 9-26

  4. Quilts

    • Tim Hsu
    Pages 28-53

  5. Norton systems and their quilts

    • Tim Hsu
    Pages 55-70

  6. Examples of quilts

    • Tim Hsu
    Pages 71-79

  7. The combinatorics of quilts

    • Tim Hsu
    Pages 81-91

  8. Classical interpretations of quilts

    • Tim Hsu
    Pages 93-98

  9. Presentations and the structure problem

    • Tim Hsu
    Pages 100-117

  10. Small snug quilts

    • Tim Hsu
    Pages 119-125

  11. Monodromy systems

    • Tim Hsu
    Pages 127-131

  12. Quilts for groups involved in the monster

    • Tim Hsu
    Pages 133-149

  13. Some results on the structure problem

    • Tim Hsu
    Pages 151-156

  14. Further directions

    • Tim Hsu
    Pages 157-178

  15. Back Matter

    Pages 179-186
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Quilts: Central Extensions, Braid Actions, and Finite Groups

  • Editors: Tim Hsu

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0103892

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67397-2Published: 06 May 2000

  • eBook ISBN: 978-3-540-45580-6Published: 06 May 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 190

  • Topics: Group Theory and Generalizations

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