Statistics on Wreath Products

2004/09/22 by Michael Fire, Fire, Michael · 2 citations
Computer Science · Mathematics · #05A15 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.math/0409421

openalex publication_date 2004/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present methods of calculating statistics generating functions over the colored permutation groups, and generalizing known theorems from the symmetric groups to general colored permutations groups.

Citations

• Denert's Permutation Statistic Is Indeed Euler‐Mahonian

Cited by

• Signed Mahonian Polynomials on Colored Derangements
• On the group of alternating colored permutations

Related

• Statistics on the multi-colored permutation groups
• Descents and flag major index on conjugacy classes of colored permutation groups without short cycles
• Fix-Euler-Mahonian statistics on wreath products
• Moments of Colored Permutation Statistics on Conjugacy Classes
• Counting descent pairs with prescribed colors in the colored permutation groups