Sur les représentations des permutations impaires. (On the representations of odd permutations)
type: Item
instance of: scholarly article
title: Sur les représentations des permutations impaires. (On the representations of odd permutations)
zbMATH Open document ID: 0771.05005
DOI: 10.1016/S0195-6698(05)80033-2
published in: European Journal of Combinatorics
publication date: 1993-01-16T00:00:00Z
review text: A simple combinatorial proof is given of the fact that all odd permutations on \(n\) letters can be represented in \(2(n-2)!\) different ways as a product of a cycle of length \(n\) and a cycle of length \(n-1\). The method of proof provides an algorithm for explicitly constructing all such representations. One can also use the method to construct representations of even permutations on \(n\) letters as a product of two cycles of length \(n\), cf. \textit{D. H. Husemoller} [Ramified coverings of Riemann surfaces, Duke Math. J. 29, 167-174 (1962; Zbl 0196.340)].
Mathematics Subject Classification ID: 05A05
zbMATH DE Number: 91736
zbMATH Keywords: odd permutations
author: Antonio Machì
reviewed by: Robert A. Gustafson
MaRDI profile type: Publication
cites work: Nombre de représentations d'une permutation comme produit de deux cycles de longueurs données
cites work: Ramified coverings of Riemann surfaces
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description: scientific article; zbMATH DE number 91736