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arXiv · 1504.07506

Minimal generation of transitive permutation groups

Gareth M. Tracey
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Abstract

It is proved in [21] that there is a constant $c$ such that each transitive permutation group of degree $d\ge 2$ can be generated by $\lfloor cd/\sqrt{\log{d}}\rfloor$ elements. In this paper, we explicitly estimate $c$.

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Gareth M. Tracey. 2015-04-28. Minimal generation of transitive permutation groups. https://arxiv.org/abs/1504.07506

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