R. Shen

collaborators

2 papers

math.GR2022

Finite groups in which every maximal subgroup is nilpotent or normal or has $p^{'}$ -order

Jiangtao Shi, Na Li, Rulin Shen

Let $G$ be a finite group and $p$ a fixed prime divisor of $∣ G ∣$ . Combining the nilpotence, the normality and the order of groups together, we prove that if every maximal subgroup…

math.GR2020

The second minimum/maximum value of the number of cyclic subgroups of finite $p$ -groups

Mihai-Silviu Lazorec, Rulin Shen, Marius Tărnăuceanu

Let $C (G)$ be the poset of cyclic subgroups of a finite group $G$ and let $P$ be the class of $p$ -groups of order $p^{n}$ ( $n \geq 3$ ). Consider the function $α:\mathcal{P}\…

Finite groups in which every maximal subgroup is nilpotent or normal or has p′-order

The second minimum/maximum value of the number of cyclic subgroups of finite p-groups

Finite groups in which every maximal subgroup is nilpotent or normal or has $p^{'}$ -order

The second minimum/maximum value of the number of cyclic subgroups of finite $p$ -groups