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

Abstract

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 ${\mathfrak{S}}_n$. This analysis completes the study begun in [Ayyer A., Prasad A., Spallone S., Sem. Lothar. Combin. 75 (2015), Art. B75g, 13 pages] and recently developed in [Isaacs I.M., Navarro G., Olsson J.B., Tiep P.H., J. Algebra 478 (2017), 271-282].

References in corpus (1)

• Odd partitions in Young's lattice

Cited by in corpus (1)

• Macdonald trees and determinants of representations for finite Coxeter groups