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arXiv · 1902.02625

On divisibility by primes in columns of character tables of symmetric groups

Lucia Morotti
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Abstract

For an arbitrary prime $p$ we prove that the proportion of entries divisible by $p$ in certain columns of the character table of the symmetric group $S_n$ tends to 1 as $n\to\infty$. This is done by finding lower bounds on the number of $k$-cores, for $k$ large enough with respect to $n$.

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Lucia Morotti. 2019-10-30. On divisibility by primes in columns of character tables of symmetric groups. https://arxiv.org/abs/1902.02625

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