Statistics on the multi-colored permutation groups

2006/12/29 by Eli Bagno, Bagno, Eli, Ayelet Butman +3
Computer Science · Engineering · Mathematics · #05E15 #Advanced Combinatorial Mathematics #Bayesian Methods and Mixture Models #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.math/0612844

openalex publication_date 2006/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define an excedance number for the multi-colored permutation group, i.e. the wreath product of Z_r1 x ... x Z_rk 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.

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