On finite C-tidy groups
نویسندگان
doi
10.22108/ijgt.2013.2838چکیده
A group $G$ is said to be a C-tidy group if for every element $x \in G \setminus K(G)$, the set $Cyc(x)=\lbrace y \in G \mid \langle x, y \rangle \; {\rm is \; cyclic} \rbrace$ is a cyclic subgroup of $G$, where $K(G)=\underset{x \in G}\bigcap Cyc(x)$. In this short note we determine the structure of finite C-tidy groups.