Higher Congruences in Character Tables
Representation Theory
2024-05-17 v2 Combinatorics
Group Theory
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?
Cite
@article{arxiv.2402.02312,
title = {Higher Congruences in Character Tables},
author = {Nate Harman and Joshua Mundinger},
journal= {arXiv preprint arXiv:2402.02312},
year = {2024}
}
Comments
12 pages. Comments welcome!