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Effective Bounds for the Maximal Order of an Element in the Symmetric Group
Let $\sigma _n$ be the symmetric group of n elements and \[ g(n) = \max _{\sigma \in \sigma _n}(\text {order of $\sigma $} ).\] We give here some effective bounds for $g(n)$ and $P(g(n))$ (greatest prime divisor of $g(n)$). Theoretical proofs are in "Evaluation asymptotique de lâordre maximum dâun élément …