Higher Congruences in Character Tables

Published 4 Feb 2024 in math.RT, math.CO, and math.GR | (2402.02312v2)

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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