The probability that a character value is zero for the symmetric group
Group Theory
2013-06-06 v1 Combinatorics
Probability
Abstract
We consider random character values X(g) of the symmetric group on n symbols, where X is chosen at random from the set of irreducible characters and g is chosen at random from the group, and we show that X(g)=0 with probability tending to one as n tends to infinity.
Keywords
Cite
@article{arxiv.1306.1219,
title = {The probability that a character value is zero for the symmetric group},
author = {Alexander R. Miller},
journal= {arXiv preprint arXiv:1306.1219},
year = {2013}
}
Comments
3 pages