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Communications in Algebra Volume 27, 1999 - Issue 11

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Original Articles

A condition on finitely generated soluble groups

Alireza Abdollahi Department of Mathematics, University of Isfahan, Isfahan, Iran

Bijan Taeri Department of Mathematics, University of Technology of Isfahan, Isfahan, Iran

Pages 5633-5638 | Received 01 Mar 1998, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927879908826779

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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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