A property equivalent to commutativity for infinite groups (Q1199665)
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scientific article; zbMATH DE number 94575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A property equivalent to commutativity for infinite groups |
scientific article; zbMATH DE number 94575 |
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A property equivalent to commutativity for infinite groups (English)
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16 January 1993
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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\}.
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pairwise non-permutable sets
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infinite nonabelian group
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