How often is a permutation an n'th power?

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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}.
2 pages

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Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/76406

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9712223
 http://arxiv.org/abs/math/9712223

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arXiv