Statistics on the multi-colored permutation groups
Combinatorics
2007-05-23 v1 Group Theory
Abstract
We define an excedance number for the multi-colored permutation group, i.e. the wreath product of Z_{r_1} x ... x Z_{r_k} with 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.
Keywords
Cite
@article{arxiv.math/0612844,
title = {Statistics on the multi-colored permutation groups},
author = {Eli Bagno and Ayelet Butman and David Garber},
journal= {arXiv preprint arXiv:math/0612844},
year = {2007}
}
Comments
16 pages, 1 figure; submitted