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On Quasitriangular Structures in Hopf Algebras Arising from Exact Group Factorizations

Author: Natale Sonia  

Publisher: Taylor & Francis Ltd

ISSN: 0092-7872

Source: Communications in Algebra, Vol.39, Iss.12, 2011-12, pp. : 4763-4775

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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.