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Quilts: Central Extensions, Braid Actions, and Finite Groups
Timothy M. Hsu
出版Springer Science & Business Media, 2000-05-06
主題Mathematics / GeneralMathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Group TheoryMedical / General
ISBN35406739709783540673972
URLhttp://books.google.com.hk/books?id=CkEBr-s6QgwC&hl=&source=gbs_api
EBookSAMPLE
註釋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.