How often is a permutation an n'th power?

Details How often is a permutation an n'th power? How often is a permutation an n'th power?

1997-12-03

arxiv.org/abs/math/9712223v1

Mathematics

Combinatorics

2 pages

Scientific paper

We give a short argument that for any fixed n, the probability that a
permutation on m letters is an n'th power is asymptotically C m^{phi(n)/n - 1}.

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