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  • © 2000

Quilts: Central Extensions, Braid Actions, and Finite Groups

Editors:

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
  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. Small snug quilts

    • Tim Hsu
    Pages 119-125
  9. Monodromy systems

    • Tim Hsu
    Pages 127-131
  10. Further directions

    • Tim Hsu
    Pages 157-178
  11. Back Matter

    Pages 179-186

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.

Keywords

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

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

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions