Sylow branching coefficients for symmetric groups

20 Sep 2019  ·  Giannelli Eugenio, Law Stacey ·

Let $p\ge 5$ be a prime and let $n$ be a natural number. In this article we describe the irreducible constituents of the induced characters $\phi\big\uparrow^{\mathfrak{S}_n}$ for arbitrary linear characters $\phi$ of a Sylow $p$-subgroup of the symmetric group $\mathfrak{S}_n$, generalising earlier results of the authors... By doing so, we introduce Sylow branching coefficients for symmetric groups. read more

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Representation Theory Combinatorics Group Theory