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arxiv: 1407.5827 · v1 · pith:HNOVX7YInew · submitted 2014-07-22 · 🧮 math.GR

On the number of conjugacy classes of a permutation group

classification 🧮 math.GR
keywords classesconjugacygrouppermutationdegreenumberprove
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We prove that any permutation group of degree $n \geq 4$ has at most $5^{(n-1)/3}$ conjugacy classes.

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