# Sylow branching coefficients for symmetric groups

@article{Giannelli2019SylowBC, title={Sylow branching coefficients for symmetric groups}, author={Eugenio Giannelli and Stacey Law}, journal={arXiv: Representation Theory}, year={2019} }

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.

#### 3 Citations

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