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arXiv · 2405.19940

Quotients of permutation groups by nonabelian minimal normal subgroups

Derek Holt
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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 $m<n$. 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.

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Derek Holt. 2024-05-30. Quotients of permutation groups by nonabelian minimal normal subgroups. https://arxiv.org/abs/2405.19940

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