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Permutation modules for the symmetric group
Author(s) -
Clara Franchi,
Alexander B. Ivanov,
Mario Mainardis
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13474
Subject(s) - algorithm , annotation , computer science , artificial intelligence
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)

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