On the $p'$-subgraph of the Young graph

Eugenio Giannelli; Stacey Law; Stuart Martin

arxiv: 1707.00366 · v1 · pith:ZAB27UJT · submitted 2017-07-02 · math.RT · math.CO· math.GR

On the p'-subgraph of the Young graph

Eugenio Giannelli , Stacey Law , Stuart Martin This is my paper

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Let $p$ be a prime number. In this article we study the restriction to $\mathfrak{S}_{n-1}$ of irreducible characters of degree coprime to $p$ of $\mathfrak{S}_n$. In particular, we study the combinatorial properties of the subgraph $\mathbb{Y}_{p'}$ of the Young graph $\mathbb{Y}$. This is an extension to odd primes of the work done by Ayyer, Prasad and Spallone for $p=2$.

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On the p'-subgraph of the Young graph

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