Counting descent pairs with prescribed colors in the colored permutation groups
Combinatorics
2007-09-18 v1 Group Theory
Abstract
We define new statistics, (c, d)-descents, on the colored permutation groups Z_r \wr 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.
Keywords
Cite
@article{arxiv.0709.2551,
title = {Counting descent pairs with prescribed colors in the colored permutation groups},
author = {Eli Bagno and David Garber and Toufik Mansour},
journal= {arXiv preprint arXiv:0709.2551},
year = {2007}
}
Comments
17 pages, no figures; submitted