I was wondering if there is some elegant way to find the highest possible order of an element in $\displaystyle S_{n}$ (symmetry/ permutation group with elements (1, 2, ..., n)?

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- Jan 14th 2012, 08:44 AMwsldamHighest Order of an Element in a Symmetry Group
I was wondering if there is some elegant way to find the highest possible order of an element in $\displaystyle S_{n}$ (symmetry/ permutation group with elements (1, 2, ..., n)?

- Jan 14th 2012, 11:13 AMOpalgRe: Highest Order of an Element in a Symmetry Group
See A000793 - OEIS. This function is called Landau's function, and there is no simple or elegant formula for it.