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.

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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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Table of contents (13 chapters)

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