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arXiv · 1705.08655

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

Christine Bessenrodt·Eugenio Giannelli·Jorn B. Olsson
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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].

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Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson. 2017-05-24. Restriction of Odd Degree Characters of $\mathfrak{S}_n$. https://doi.org/10.3842/sigma.2017.070

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