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Quilts : central extensions, braid actions, and finite groups / Tim Hsu.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1731.Publication details: Berlin ; New York : Springer, ©2000.Description: 1 online resource (xii, 185 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540455806
  • 3540455809
Subject(s): Additional physical formats: Print version:: Quilts.DDC classification:
  • 510 s 512/.2 21
LOC classification:
  • QA3 .L28 v. 1731 QA177
Online resources:
Contents:
Introduction -- 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 -- Appendix: Independent generators for modular subgroups.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
Total holds: 0

Includes bibliographical references (pages 179-182) and index.

Introduction -- 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 -- Appendix: Independent generators for modular subgroups.

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.

English.

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