A property equivalent to commutativity for infinite groups
type: Item
instance of: scholarly article
title: A property equivalent to commutativity for infinite groups
zbMATH Open document ID: 0812.20015
author: F. Menegazzo
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1993-01-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108255
review text: The author generalizes, by a straightforward argument, a result of \textit{J. C. Lennox, A. M. Hassanabadi}, and \textit{J. Wiegold} [ibid. 84, 135-141 (1990; Zbl 0725.20025)], by proving the Theorem: Suppose \(G\) is an infinite nonabelian group. For every integer \(n > 1\) there is an infinite set of pairwise non-permutable \(n\)-sets. \{A few misprints affecting mathematical expressions were noted, but they should not trouble an alert reader\}.
Mathematics Subject Classification ID: 20E34
Mathematics Subject Classification ID: 20F12
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E22
zbMATH DE Number: 94575
zbMATH Keywords: pairwise non-permutable sets
zbMATH Keywords: infinite nonabelian group
reviewed by: B. H. Neumann
MaRDI profile type: Publication
cites work: Some commutativity criteria
cites work: Q4100111
description: scientific article; zbMATH DE number 94575