Nombre de factorisations d'un grand cycle

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We give a short proof, based on symmetric function theory, of a formula due to Goupil and Schaeffer, counting the number of factorizations of a cycle of maximal length in the symmetric group, into the product of two permutations of given conjugacy classes.
3 pages; in French

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Combinatorics, Group Theory, 05A15; 05E05; 20B30

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http://salesiana.dossiersoluciones.com/handle/123456789/68044

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307147
 http://arxiv.org/abs/math/0307147

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arXiv