@Article{JMS-56-1,
author = {Wei, Meng and Lu, Jiakuan},
title = {Lower Bounds on the Number of Cyclic Subgroups in Finite Non-Cyclic Nilpotent Groups},
journal = {Journal of Mathematical Study},
year = {2023},
volume = {56},
number = {1},
pages = {93--102},
abstract = {<p style="text-align: justify;">Let $G$ be a finite group and $\mathfrak{c}(G)$ denote the number of cyclic subgroups of $G$. It is known that the minimal value of $\mathfrak{c}$ on the set of groups of order $n$, where $n$ is a positive integer, will occur at the cyclic group $Z_n$. In this paper, for non-cyclic nilpotent groups $G$ of order $n$, the lower bounds of $\mathfrak{c}(G)$ are established.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v56n1.23.03},
url = {https://global-sci.com/article/87617/lower-bounds-on-the-number-of-cyclic-subgroups-in-finite-non-cyclic-nilpotent-groups}
}