Parity in columns of the character table of 𝐒_{𝐧}

Parity in columns of the character table of $\mathbf {S_n}$
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by David Gluck PDF

Proc. Amer. Math. Soc. 147 (2019), 1005-1011 Request permission

We show that the proportion of odd entries in many columns of the character table of $S_n$ is at most $2^{-\sqrt n}$, for $n$ sufficiently large.

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