Quilts: Central Extensions, Braid Actions, and Finite Groups [electronic resource] / edited by Tim Hsu.

Contributor(s): Hsu, Tim [editor.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1731Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2000Description: XIV, 190 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540455806Subject(s): Mathematics | Group theory | Mathematics | Group Theory and GeneralizationsAdditional physical formats: Printed edition:: No titleDDC classification: 512.2 LOC classification: QA174-183Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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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.

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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