Quotients of permutation groups by nonabelian minimal normal subgroups
Group Theory
2025-11-04 v2
Abstract
We prove that a quotient G/N of a subgroup G of Sym(n) by a nonabelian minimal normal subgroup N of G embeds into Sym(m) for some . This result was proved previously by Robert Chamberlain, and we also prove that,if G is transitive, then we can take m \le 2n/5.
Cite
@article{arxiv.2405.19940,
title = {Quotients of permutation groups by nonabelian minimal normal subgroups},
author = {Derek Holt},
journal= {arXiv preprint arXiv:2405.19940},
year = {2025}
}