Groups having $11$ cyclic subgroups

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Sharma Khyati; Reddy A. Satyanarayana

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2024 | Volume:13 | Issue:2 Page(s): 203-214

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Information Journal Paper

Title

Groups having $11$ cyclic subgroups

Author(s)

Sharma Khyati | Reddy A. Satyanarayana | Issue Writer Certificate

Keywords

$n$-cyclic group

Cyclic subgroup

Sylow theorem

Dedekind group

Abstract

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.

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