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Acta Mathematica Vietnamica

A Class of Finite $m$-Cyclic Groups

icon-email Hailin Liu , Zhuhua Shi , Xiangyu Chen

Abstract

A finite group $G$ is called an $m$-cyclic group if it has $m$ cyclic subgroups. In this paper, we classify finite 14-cyclic groups. These results involve a subclass of finite $m$-cyclic groups of order $n$ with $|\pi (n)|\le 3$, where $|\pi (n)|$ is the number of prime divisors of $n$.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv