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arXiv · 2402.02312

Higher Congruences in Character Tables

Nate Harman·Joshua Mundinger
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Abstract

Motivated by recent work of Peluse and Soundararajan on divisibility properties of the entries of the character tables of symmetric groups, we investigate the question: For a finite group G, when are two columns of the character table of G congruent to one another modulo a power of a prime?

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Nate Harman, Joshua Mundinger. 2026-08-04. Higher Congruences in Character Tables. https://doi.org/10.1016/j.jpaa.2026.108359

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