Geodesic
On the Excedance Number of Colored Permutation Groups
Séminaire lotharingien de combinatoire, Tome 53 (2005-2006)

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We generalize the results of Ksavrelof and Zeng about the multidistribution of the excedance number of Sn with some natural parameters to the colored permutation group and to the Coxeter group of type D. We define two different orders on these groups which induce two different excedance numbers. Surprisingly, in the case of the colored permutation group, we get the same generalized formulas for both orders. 

@article{SLC_2005-2006_53_a5,
     author = {Eli Bagno and David Garber},
     title = {On the {Excedance} {Number} of {Colored} {Permutation} {Groups}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {53},
     year = {2005-2006},
     url = {http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a5/}
}
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Eli Bagno; David Garber. On the Excedance Number of Colored Permutation Groups. Séminaire lotharingien de combinatoire, Tome 53 (2005-2006). http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a5/