Séminaire Lotharingien de Combinatoire, B60e (2009), 12 pp.

Eli Bagno, David Garber and Toufik Mansour

Counting Descent Pairs with Prescribed Colors in the Colored Permutation Groups

Abstract. We define new statistics, (c,d)-descents, on the colored permutation groups Zr wreath Sn and compute the distribution of these statistics on the elements in these groups. We use some combinatorial approaches, recurrences, and generating functions manipulations to obtain our results.

Received: July 21, 2008. Accepted: April 22, 2009. Final Version: April 27, 2009.

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