Nombre de factorisations d'un grand cycle

Details Nombre de factorisations d'un grand cycle Nombre de factorisations d'un grand cycle

2003-07-10

arxiv.org/abs/math/0307147v1

Mathematics

Combinatorics

3 pages; in French

Scientific paper

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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