University of Birmingham > Talks@bham > Algebra Seminar > Linear characters of Sylow subgroups of the symmetric group

Linear characters of Sylow subgroups of the symmetric group

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Let p be an odd prime and n a natural number. We determine the irreducible constituents of the permutation module induced by the action of the symmetric group S_n on the cosets of a Sylow p-subgroup P_n. In the course of this work, we also prove a symmetric group analogue of a well-known result of Navarro for p-solvable groups on a conjugacy action of N_G(P). Before describing some consequences of these results, we will give an overview of the background and recent related results in the area.

This talk is part of the Algebra Seminar series.

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