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Nombre de factorisations d'un grand cycle

Philippe Biane
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Abstract

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.

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Philippe Biane. 2003-07-10. Nombre de factorisations d'un grand cycle. https://arxiv.org/abs/math/0307147

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