On $n$-Kappe groups
Let $G$ be an infinite group and $nin {3, 6}cup{2^k| kin mathbb{N}}$. 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 $xin X$ and $yin Y$ such that $[x^n, y, y]=1$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2014-09-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/pdf_4434_9a17cff5f39ae447a1760a128a838980.html |