Groups having $11$ cyclic subgroups

Sharma, Khyati; Reddy, A. Satyanarayana

doi:10.22108/ijgt.2023.135547.1812

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	Groups having $11$ cyclic subgroups
International Journal of Group Theory
دوره 13، شماره 2، شهریور 2024، صفحه 203-214 اصل مقاله (431.36 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.135547.1812
نویسندگان
Khyati Sharma^* ؛ A. Satyanarayana Reddy
Department of Mathematics, Shiv Nadar Institution of Eminence, Dadri-201314, Gautam Buddha Nagar, India
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

مراجع
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Groups having $11$ cyclic subgroups