A note on torsion-by-nilpotent groups. (Q2462257)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on torsion-by-nilpotent groups. |
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A note on torsion-by-nilpotent groups. (English)
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26 November 2007
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Summary: We prove that a finitely generated soluble-by-finite group \(G\) is torsion-by-nilpotent if and only if every infinite subset contains two distinct elements \(x,y\) such that \(\langle x,x^y\rangle\) is torsion-by-nilpotent.
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finitely generated soluble-by-finite groups
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torsion-by-nilpotent groups
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infinite subsets
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