Higher Congruences in Character Tables
arXiv:2402.02312 · doi:10.1016/j.jpaa.2026.108359
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?
13 pages. Final version