Restriction of Odd Degree Characters of ${\mathfrak{S}}_n$

Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson

Let $n$ and $k$ be natural numbers such that $2^k<n$. We study the restriction to ${\mathfrak{S}}_{n-2^k}$ of odd-degree irreducible characters of the symmetric group $\mathfrak{S}…