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Communications in Algebra Volume 39, 2011 - Issue 12
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Original Articles

On Quasitriangular Structures in Hopf Algebras Arising from Exact Group Factorizations

Sonia Natale Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM – CONICET, Córdoba, ArgentinaCorrespondence[email protected]
Pages 4763-4775 | Received 01 Sep 2010, Published online: 14 Dec 2011
 
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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.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENT

These results are the outgrowth of some questions that were brought to the author's attention by S. Montgomery. The author thanks her for sharing her insights and for interesting references and discussions.

Partially supported by CONICET, SeCYT (UNC), and FAMAF (República Argentina).

Notes

Communicated by S. Montgomery.

To Mia Cohen, on the occasion of her retirement.

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