Linear characters of Sylow subgroups of the symmetric group

Add to your list(s) Download to your calendar using vCal

• Stacey Law, Oxford
• Tuesday 03 December 2019, 16:00-17:00
• Watson Building, Lecture Room C.

If you have a question about this talk, please contact Chris Parker.

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.

This talk is included in these lists:

• Algebra Seminar
• School of Mathematics Events
• Watson Building, Lecture Room C

Note that ex-directory lists are not shown.