Groups having $11$ cyclic subgroups

نویسندگان
Sharma, Khyati ID 1
Reddy, A. Satyanarayana ID 2

1 Department of Mathematics, Shiv Nadar Institution of Eminence, Dadri-201314, Gautam Buddha Nagar, India

2 Department of Mathematics, Shiv Nadar Institution of Eminence, Dadri-201314, Gautam Buddha Nagar, India

doi
10.22108/ijgt.2023.135547.1812
چکیده

Let $c(G)$ denotes the number of cyclic subgroups of a finite group $G$. A group $G$ is said to be {\em $n$-cyclic}, if $c(G)=n$. In this paper, we classify all $11$-cyclic groups.

کلیدواژه‌ها
$n$-cyclic group, Cyclic subgroup, Sylow theorem, Dedekind group