TY  - BOOK
AU  - Hsu,Timothy M.
TI  - Quilts: central extensions, braid actions, and finite groups 
T2  - Lecture notes in mathematics,
SN  - 9783540455806
AV  - QA3QA177 .L28 v. 1731
U1  - 510 s512/.2 21
PY  - 2000///
CY  - Berlin, New York
PB  - Springer
KW  - Finite groups
KW  - Group extensions (Mathematics)
KW  - Braid theory
KW  - Groupes finis
KW  - Extensions de groupes (Mathématiques)
KW  - Théorie des tresses
KW  - Grupos finitos
KW  - embne
KW  - Trenzas, Teoría de
KW  - embucm
KW  - fast
KW  - Algebraïsche meetkunde
KW  - gtt
KW  - Teoria dos grupos
KW  - larpcal
N1  - Includes bibliographical references (pages 179-182) and index; 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
N2  - 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
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/BFb0103892
ER  -