Divisibility of character values of the symmetric group by prime powers

Abstract

Proving a conjecture of Miller, we show that as $n$ tends to infinity almost all entries in the character table of $S_n$ are divisible by any given prime power. This extends our earlier work which treated divisibility by primes.

In memory of Chandra Sekhar Raju. 17 pages, 3 figures; v2: referee suggestions incorporated

Cited by in corpus (1)

• Degrees and prime power order zeros of characters of symmetric and alternating groups