Let p be an odd prime and let n be a natural number. In this article we determine the irreducible constituents of the permutation module induced by the action of the symmetric group Sn on the cosets of a Sylow p-subgroup Pn. As a consequence, we determine the number of irreducible representations of the corresponding Hecke algebra H(Sn, Pn, 1Pn ).
On permutation characters and Sylow p-subgroups of Sn / Giannelli Eugenio; Law Stacey. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 506:(2018), pp. 409-428. [10.1016/j.jalgebra.2018.04.001]
On permutation characters and Sylow p-subgroups of Sn
GIANNELLI, EUGENIO
;
2018
Abstract
Let p be an odd prime and let n be a natural number. In this article we determine the irreducible constituents of the permutation module induced by the action of the symmetric group Sn on the cosets of a Sylow p-subgroup Pn. As a consequence, we determine the number of irreducible representations of the corresponding Hecke algebra H(Sn, Pn, 1Pn ).
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