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Quilts: Central Extensions, Braid Actions, and Finite Groups / edited by Tim Hsu.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1731.
- Lecture Notes in Mathematics, 0075-8434 ; 1731
- Language:
- English
- Subjects (All):
- Group theory.
- Group Theory and Generalizations.
- Local Subjects:
- Group Theory and Generalizations.
- Physical Description:
- 1 online resource (XIV, 190 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540455806
- Access Restriction:
- Restricted for use by site license.
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