Sylow branching coefficients for symmetric groups

  title={Sylow branching coefficients for symmetric groups},
  author={Eugenio Giannelli and Stacey Law},
  journal={arXiv: Representation Theory},
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. 
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