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arXiv · 2301.05643

Covering numbers for characters of symmetric groups

Alexander R. Miller
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Abstract

If $n>4$ and $c(\theta)$ denotes the set of irreducible constituents of a character $\theta$, then $c(\chi^k)={\rm Irr}(S_n)$ for all nonlinear $\chi\in {\rm Irr}(S_n)$ if and only if $k\geq n-1$.

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Alexander R. Miller. 2023-01-13. Covering numbers for characters of symmetric groups. https://arxiv.org/abs/2301.05643

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