Counting Descent Pairs with Prescribed Colors in the Colored Permutation Groups
Séminaire lotharingien de combinatoire, Tome 60 (2009)

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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.

@article{SLC_2009_60_a4,
     author = {Eli Bagno and David Garber and Toufik Mansour},
     title = {Counting {Descent} {Pairs} with {Prescribed} {Colors} in the {Colored} {Permutation} {Groups}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {60},
     year = {2009},
     url = {http://geodesic.mathdoc.fr/item/SLC_2009_60_a4/}
}
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Eli Bagno; David Garber; Toufik Mansour. Counting Descent Pairs with Prescribed Colors in the Colored Permutation Groups. Séminaire lotharingien de combinatoire, Tome 60 (2009). http://geodesic.mathdoc.fr/item/SLC_2009_60_a4/