A condition on finitely generated soluble groups |
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| Authors: | Alireza Abdollahi Bijan Taeri |
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| Institution: | 1. Department of Mathematics , University of Isfahan , Isfahan, Iran;2. Department of Mathematics , University of Technology of Isfahan , Isfahan, Iran |
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| Abstract: | In this note we show that if Gis a finitely generated soluble group, then every infinite subset of Gcontains two elements generating a nilpotent group of class at most kif and only if Gis finite by a group in which every two generator subgroup is nilpotent of class at most k. |
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