On finite C-tidy groups

نویسندگان
doi
10.22108/ijgt.2013.2838
چکیده

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.