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The Expected order of a Random Permutation
Journal article

The Expected order of a Random Permutation

William M. Y. Goh and Eric Schmutz
The Bulletin of the London Mathematical Society, v 23(1), pp 34-42
Jan 1991

Abstract

Let μn be the expected order of a random permutation, that is, the arithmetic mean of the orders of the elements in the symmetric group Sn. We prove that log μn ñ c√(n/logn) as n → ∞, where c=2(2∫0∞loglog(e1-e-t)dt).

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Mathematics
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