On products of conjugacy classes of the symmetric group
type: Item
instance of: scholarly article
title: On products of conjugacy classes of the symmetric group
zbMATH Open document ID: 0695.20006
DOI: 10.1016/0012-365X(90)90054-L
author: Alain Goupil
published in: Discrete Mathematics
publication date: 1990-01-01T00:00:00Z
review text: This paper is devoted to the derivation of combinatorial rules for the problem mentioned in the title, and in particular to the decomposition of the product of the class of cycles of length n in \(S_ n\) with itself. It uses the standard methods, i.e. hook characters and expressions of their values in terms of binomial coefficients.
Mathematics Subject Classification ID: 20C30
Mathematics Subject Classification ID: 05A10
zbMATH DE Number: 4138022
zbMATH Keywords: products of conjugacy classes
zbMATH Keywords: symmetric group
zbMATH Keywords: group algebra
zbMATH Keywords: decomposition
zbMATH Keywords: cycles
zbMATH Keywords: hook characters
zbMATH Keywords: binomial coefficients
reviewed by: Adalbert Kerber
MaRDI profile type: Publication
cites work: Q5650405
cites work: Q3952291
cites work: Q3947818
cites work: The Characters of the Symmetric Group
cites work: Factorization of permutations into n-cycles
full work available at URL: 0012-365x(90)90054-l
OpenAlex ID: W1996720884
description: scientific article; zbMATH DE number 4138022