Even permutations as a product of two elements of order five
type: Item
instance of: scholarly article
title: Even permutations as a product of two elements of order five
zbMATH Open document ID: 0621.20017
DOI: 10.1016/0097-3165(87)90014-8
author: J. L. Brenner
author: Ron Evans
published in: Journal of Combinatorial Theory. Series A
publication date: 1987-01-01T00:00:00Z
review text: In the present paper it is shown that every permutation in the alternating group \(A_ n\) is the product of two elements of order 5 provided \(n\geq 15\) or \(n=5,6,7,10,11,12,13\). The exceptions in the remaining cases are determined. The results for \(n=14\) correct an erroneous statement in a paper by \textit{J. L. Brenner} and \textit{J. Riddell} [Am. Math. Mon. 84, 39-40 (1977; Zbl 0445.05002)].
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20B05
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 05A05
zbMATH DE Number: 4006524
zbMATH Keywords: alternating group
zbMATH Keywords: product of two elements of order 5
MaRDI profile type: Publication
full work available at URL: 0097-3165(87)90014-8
OpenAlex ID: W1968364988
cites work: Q4190801
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description: scientific article; zbMATH DE number 4006524