Events

Abstract: Let $c(G)$ denotes the number of cyclic subgroups of a finite group $G.$ A group $G$is{em $n$-cyclic} if $c(G)=n$. We review the work of $n$-cyclic groups for a few values of $n.$ In particular, we show that $c(G)=11$ if and only if$Gcong H,$ where $Hin {Z_{p^{10}}, Z_{27}times Z_3, Z_{27}rtimes Z_3, Dic_7,Z_{7}rtimes Z_9, Z_3times S_3, Z_{5}rtimes Z_8,Z_{3}rtimes Z_{16}}$ and $p$ is a prime number.