### Combinatorics in Sylow restriction

Algebra Seminar

27th February 2024, 4:00 pm – 5:00 pm

Fry Building, Room 2.04

One of the key questions in the representation theory of finite groups is to understand the relationship between the characters of a finite group G and its local subgroups. Sylow branching coefficients describe the restriction of irreducible characters of G to a Sylow subgroup P of G, and have been recently shown to characterise structural properties such as the normality of P in G. In this talk, we will discuss and present some new results on Sylow branching coefficients for symmetric groups.

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