On divisibility by primes in columns of character tables of symmetric groups

authored by

Lucia Morotti

Abstract

For an arbitrary prime p, we prove that the proportion of entries divisible by p in certain columns of the character table of the symmetric group S

_n tends to 1 as n→ ∞. This is done by finding lower bounds on the number of k-cores for k large enough with respect to n.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Article

Journal

Archiv der Mathematik

Volume

114

Pages

361-365

No. of pages

5

ISSN

0003-889X

Publication date

04.2020

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all)

Electronic version(s)

https://arxiv.org/abs/1902.02625 (Access: Open)
https://doi.org/10.1007/s00013-019-01407-5 (Access: Closed)