University of Isfahan International Journal of Group Theory 2251-7650 2 4 2013 12 01 On finite C-tidy groups 39 41 2838 10.22108/ijgt.2013.2838 EN Sekhar Jyoti Baishya North-Eastern Hill University Journal Article 2013 01 30 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. https://ijgt.ui.ac.ir/article_2838_8f2b0e559e4fdea04fd0b7d3c5134624.pdf