arXiv subjects

S. M. Jafarian Amiri

Publications and source records attributed to S. M. Jafarian Amiri.

2 recordsLinked to original sources

arXiv2024

On minimal coverings of groups by proper normalizers

For a group $G$, a {\it normalizer covering} of $G$ is a finite set of proper normalizers of some subgroups of $G$ whose union is $G$. We study $p$-groups ($p$ a prime) without a normalizer covering. As an application, we determine some non-nilpotent groups having a nilpotent normalizer covering.

math.GR↗

arXiv2019

Characterization of P-groups By Sum of Element Orders

Let $G$ be a finite group. Then we denote $ψ(G) = \sum_{x\in G}o(x)$ where $o(x)$ is the order of the element $x$ in $G$. In this paper we characterize some finite $p$-groups ($p$ a prime) by $ψ$ and their orders.

math.GR↗