In this paper we give a general method, based on the ordinary representation theory of the symmetric groups, for computing the irreducible components of their permutation modules over a field F of coprime character istic. We apply this method to determine the decomposition into irreducible submodules of the F[S_n]-permutation module on the right cosets of the normaliser in S_n of the subgroup generated by a permutation of type (3, 3).
Permutation modules for the symmetric group
MAINARDIS, Mario
2017
Abstract
In this paper we give a general method, based on the ordinary representation theory of the symmetric groups, for computing the irreducible components of their permutation modules over a field F of coprime character istic. We apply this method to determine the decomposition into irreducible submodules of the F[S_n]-permutation module on the right cosets of the normaliser in S_n of the subgroup generated by a permutation of type (3, 3).File in questo prodotto:
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