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On permutations of order dividing a given integer

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arxiv 1702.07406 v1 pith:6ICGVMHX submitted 2017-02-23 math.GR

On permutations of order dividing a given integer

classification math.GR
keywords orderanalysisdetaileddividesdividingelementsgivegiven
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We give a detailed analysis of the proportion of elements in the symmetric group on $n$ points whose order divides $m$, for $n$ sufficiently large and $m \ge n$ with $m = O(n)$.

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