On $n$-Kappe groups

Document Type : Research Paper


1 Damghan University

2 Gonbad-e Qabus University


Let $G$ be an infinite group and $n\in \{3‎, ‎6\}\cup\{2^k| k\in \mathbb{N}\}$‎. ‎In this paper‎, ‎we prove that $G$ is an $n$-Kappe group if and only if for any two infinite subsets $X$ and $Y$ of $G$‎, ‎there exist $x\in X$ and $y\in Y$ such that $[x^n‎, ‎y‎, ‎y]=1$‎.


Main Subjects

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Volume 3, Issue 3 - Serial Number 3
September 2014
Pages 35-38
  • Receive Date: 10 November 2013
  • Revise Date: 28 January 2014
  • Accept Date: 29 January 2014
  • Published Online: 01 September 2014