Geodesic
Statistics on the multi-colored permutation groups
The electronic journal of combinatorics, Tome 14 (2007)
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We define an excedance number for the multi-colored permutation group i.e. the wreath product $({\Bbb Z}_{r_1} \times \cdots \times {\Bbb Z}_{r_k}) \wr S_n$ and calculate its multi-distribution with some natural parameters. We also compute the multi–distribution of the parameters exc$(\pi)$ and fix$(\pi)$ over the sets of involutions in the multi-colored permutation group. Using this, we count the number of involutions in this group having a fixed number of excedances and absolute fixed points.
DOI : 10.37236/942
Classification : 05E99
Mots-clés : excedance, number of involutions 
@article{10_37236_942,
     author = {Eli Bagno and Ayelet Butman and David Garber},
     title = {Statistics on the multi-colored permutation groups},
     journal = {The electronic journal of combinatorics},
     year = {2007},
     volume = {14},
     doi = {10.37236/942},
     zbl = {1111.05098},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/942/}
}
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Eli Bagno; Ayelet Butman; David Garber. Statistics on the multi-colored permutation groups. The electronic journal of combinatorics, Tome 14 (2007). doi: 10.37236/942

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