On even entries in the character table of the symmetric group

2020/07/13 by Peluse, Sarah · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2007.06652

Abstract

We show that almost every entry in the character table of S_n is even as n→∞. This resolves a conjecture of Miller. We similarly prove that almost every entry in the character table of S_n is zero modulo 3,5,7,11, and 13 as n→∞, partially addressing another conjecture of Miller.

Cited by

• Dimensions of compositions modulo a prime

Related

• Note on parity and the irreducible characters of the symmetric group
• On divisibility by primes in columns of character tables of symmetric groups
• On the character tables of symmetric groups
• The characters of symmetric groups that depend only on length
• Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group