Conjugacy Classes of P-Cycles of Type D in Alternating Groups |
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| Authors: | Fernando Fantino |
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| Institution: | 1. Département de Mathématiques , Université Paris Diderot (Paris 7) , Paris , Franceand Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, CIEM-CONICET Cíudad Universitaria, Córdoba, Argentinafantino@famaf.unc.edu.ar |
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| Abstract: | We classify the conjugacy classes of p-cycles of type D in alternating groups. This finishes the open cases in 3
Andruskiewitsch , N. ,
Fantino , F. ,
Graña , M. ,
Vendramin , L. ( 2011 ). Finite-dimensional pointed Hopf algebras with alternating groups are trivial . Ann. Mat. Pura Appl 190 : 225 – 245 .Web of Science ®] , Google Scholar]]. Also we determine all the subracks of those conjugacy classes which are not of type D. |
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| Keywords: | Pointed Hopf algebras Nichols algebras Racks |
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