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arxiv: 1601.02561 · v1 · pith:DMEBQMYJnew · submitted 2016-01-11 · 🧮 math.GR

Comparing the order and the minimal number of generators of a transitive permutation group

classification 🧮 math.GR
keywords grouppermutationtendstransitivecomparinggeneratorsinftyminimal
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We prove that if $G$ is a transitive permutation group, then $d(G)\log{|G|}/n^{2}$ tends to $0$ as $n$ tends to $\infty$.

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