Quotients of permutation groups by nonabelian minimal normal subgroups
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 2n/5.
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