On $n$-Kappe groups
نویسندگان
1 Beijing Normal University
2 Guangxi University
3 Guangxi Teachers Education University
doi
10.22108/ijgt.2014.4434چکیده
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 $[x^n, y, y]=1$.
