Séminaire Lotharingien de Combinatoire, B51f (2004), 16 pp.

Eli Bagno

Euler-Mahonian Parameters on Colored Permutation Groups

Abstract. New combinatorial statistics on colored permutation groups are introduced here. We present two different generalizations of major index and descent number, one of them is combinatorial in nature and the other is algebraic. We also present Euler-Mahonian type joint distributions of our parameters.

Received: November 21, 2003. Revised: August 22, 2004; November 15, 2004. Accepted: November 15, 2004.

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