The decrease value theorem with an application to permutation statistics

Dominique Foata (1) , Guo-Niu Han (2)

1 Institut Lothaire
2 IRMA - Institut de Recherche Mathématique Avancée

The decrease value theorem is restated and given a specialization more adapted to Permutation Statistic Calculus. As an application, the computation of a factorial multivariable generating function for the wreath product of the cyclic group of finite order by the symmetric group is given in full detail.

Domaines: Combinatoire [math.CO]

Dominique Foata, Guo-Niu Han. The decrease value theorem with an application to permutation statistics. Advances in Applied Mathematics, 2010, 19 p. ⟨10.1016/j.aam.2010.10.002⟩. ⟨hal-00579811⟩