Quilts: Central Extensions, Braid Actions, and Finite Groups

• Main Author: Hsu, Tim (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1731
• Subjects: Group theory.; Group Theory and Generalizations.

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 widel...

Table of 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.