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On Quasitriangular Structures in Hopf Algebras Arising from Exact Group Factorizations
Authors:Sonia Natale
Affiliation:1. Facultad de Matemática, Astronomía y Física , Universidad Nacional de Córdoba, CIEM – CONICET , Córdoba, Argentina natale@famaf.unc.edu.ar
Abstract:We show that bicrossed product Hopf algebras arising from exact factorizations in almost simple finite groups, so in particular, in simple and symmetric groups, admit no quasitriangular structure.
Keywords:Almost simple group  Matched pair of groups  Quasitriangular Hopf algebra  Semisimple Hopf algebra
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