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arXiv · 2301.02203

Divisibility of character values of the symmetric group by prime powers

Sarah Peluse·Kannan Soundararajan
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Abstract

Proving a conjecture of Miller, we show that as $n$ tends to infinity almost all entries in the character table of $S_n$ are divisible by any given prime power. This extends our earlier work which treated divisibility by primes.

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Sarah Peluse, Kannan Soundararajan. 2025-01-08. Divisibility of character values of the symmetric group by prime powers. https://doi.org/10.2140/ant.2025.19.365

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