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arXiv · 1707.00366

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

Eugenio Giannelli·Stacey Law·Stuart Martin
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Abstract

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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BibTeXRIS

Eugenio Giannelli, Stacey Law, Stuart Martin. 2017-07-02. On the $p'$-subgraph of the Young graph. https://arxiv.org/abs/1707.00366

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