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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
**Z**_{r} wreath *S*_{n}
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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