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- catalog abstract "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.".
- catalog contributor b11693378.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description "Includes bibliographical references and index.".
- catalog description "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.".
- catalog description "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.".
- catalog extent "xii, 185 p. : ill. ;".
- catalog identifier "3540673970 (softcover : alk. paper)".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1731.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1731".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "510 s 512/.2 21".
- catalog subject "Braid theory.".
- catalog subject "Finite groups.".
- catalog subject "Group extensions (Mathematics)".
- catalog subject "Group theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 v. 1731 QA177".
- catalog tableOfContents "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.".
- catalog title "Quilts : central extensions, braid actions, and finite groups / Tim Hsu.".
- catalog type "text".