# Highest Order of an Element in a Symmetry Group

• January 14th 2012, 09:44 AM
wsldam
Highest 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 $S_{n}$ (symmetry/ permutation group with elements (1, 2, ..., n)?
• January 14th 2012, 12:13 PM
Opalg
Re: Highest Order of an Element in a Symmetry Group
Quote:

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

See A000793 - OEIS. This function is called Landau's function, and there is no simple or elegant formula for it.