English

Nombre de factorisations d'un grand cycle

Combinatorics 2007-05-23 v1 Group Theory

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.

Cite

@article{arxiv.math/0307147,
  title  = {Nombre de factorisations d'un grand cycle},
  author = {Philippe Biane},
  journal= {arXiv preprint arXiv:math/0307147},
  year   = {2007}
}

Comments

3 pages; in French