University of Cambridge > Talks.cam > Algebra and Representation Theory Seminar > Linear characters of Sylow subgroups of the symmetric group

Linear characters of Sylow subgroups of the symmetric group

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  • UserStacey Law
  • ClockWednesday 01 May 2019, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

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 Sn on the cosets of a Sylow p-subgroup Pn. 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 NG(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 and Representation Theory Seminar series.

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