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arXiv · 1903.06090

Characterization of P-groups By Sum of Element Orders

S. M. Jafarian Amiri·Mohsen Amiri
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Abstract

Let $G$ be a finite group. Then we denote $\psi(G) = \sum_{x\in G}o(x)$ 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 $\psi$ and their orders.

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S. M. Jafarian Amiri, Mohsen Amiri. 2019-03-14. Characterization of P-groups By Sum of Element Orders. https://doi.org/10.5486/pmd.2015.5961

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