Quilts: Central Extensions, Braid Actions, and Finite Groups
Quilts: Central Extensions, Braid Actions, and Finite Groups [electronic resource] /
edited by Tim Hsu.
- XIV, 190 p. online resource.
- Lecture Notes in Mathematics, 1731 0075-8434 ; .
- Lecture Notes in Mathematics, 1731 .
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.
9783540455806
10.1007/BFb0103892 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2
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.
9783540455806
10.1007/BFb0103892 doi
Group theory.
Group Theory and Generalizations.
QA174-183
512.2