Equivalence classes of permutations modulo descents and left-to-right maxima
Résumé
In the recent paper, the authors provide enumerating results for equivalence classes of permutations modulo excedances. In this paper we investigate two other equivalence relations based on descents and left-to-right maxima. Enumerating results are presented for permutations, involutions, dernagements, cycles and permutations avoiding one pattern of length three.