Divisibility of character values of the symmetric group by prime powers
Combinatorics
2025-02-05 v2 Number Theory
Representation Theory
Abstract
Proving a conjecture of Miller, we show that as tends to infinity almost all entries in the character table of are divisible by any given prime power. This extends our earlier work which treated divisibility by primes.
Keywords
Cite
@article{arxiv.2301.02203,
title = {Divisibility of character values of the symmetric group by prime powers},
author = {Sarah Peluse and Kannan Soundararajan},
journal= {arXiv preprint arXiv:2301.02203},
year = {2025}
}
Comments
In memory of Chandra Sekhar Raju. 17 pages, 3 figures; v2: referee suggestions incorporated