Statistics on the multi-colored permutation groups

Eli Bagno; Ayelet Butman; David Garber

doi:10.37236/942

Statistics on the multi-colored permutation groups

Eli Bagno
, Ayelet Butman
, David Garber

Jerusalem College of Technology
Holon Institute of Technology

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We define an excedance number for the multi-colored permutation group i.e. the wreath product (ℤ_r1 × ⋯ × ℤ_rk) S_n and calculate its multi-distribution with some natural parameters. We also compute the multi-distribution of the parameters exc(π) and fix(π) 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.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Electronic Journal of Combinatorics
Volume	14
Issue number	1 R
DOIs	https://doi.org/10.37236/942
State	Published - 5 Mar 2007
Externally published	Yes

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abstract = "We define an excedance number for the multi-colored permutation group i.e. the wreath product (ℤr1 × ⋯ × ℤrk) Sn and calculate its multi-distribution with some natural parameters. We also compute the multi-distribution of the parameters exc(π) and fix(π) 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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Statistics on the multi-colored permutation groups

Abstract

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