Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)

DOI10.1007/s11856-010-0088-8zbMath1201.05007OpenAlexW2049941596MaRDI QIDQ607865

Chak-On Chow, Toufik Mansour

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0088-8

Mathematics Subject Classification ID

Related Items (11)

Symmetric unimodal expansions of excedances in colored permutations ⋮ On derangement polynomials of type \(D\) ⋮ Excedance-type polynomials, gamma-positivity and alternatingly increasing property ⋮ Gamma-positivity in combinatorics and geometry ⋮ Cyclic derangement polynomials of the wreath product \(\mathcal{C}_r\wr S_n\) ⋮ Specializations of colored quasisymmetric functions and Euler-Mahonian identities ⋮ UNIMODALITY AND COLOURED HOOK FACTORISATION ⋮ Gamma-positivity of derangement polynomials and binomial Eulerian polynomials for colored permutations ⋮ Fixed points and adjacent ascents for classical complex reflection groups ⋮ Binomial Eulerian polynomials for colored permutations ⋮ A combinatorial approach to derangement matrix of type \(B\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fix-Euler-Mahonian statistics on wreath products
• On the excedance number of colored permutation groups
• Derangements and Euler's difference table for \(C_{l} \wr S_{n}\)
• On derangement polynomials of type \(B\). II
• Signed words and permutations. V: A sextuple distribution
• Eulerian numbers, tableaux, and the Betti numbers of a toric variety
• Permutation statistics of indexed permutations
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Cycle type and descent set in wreath products
• Hadamard products of stable polynomials are stable
• Counting involutory, unimodal, and alternating signed permutations
• Excedance number for involutions in complex reflection groups
• Excedance numbers for permutations in complex reflection groups
• 𝑞-Eulerian polynomials: Excedance number and major index
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Unimodal Polynomials Arising from Symmetric Functions

This page was built for publication: Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)