Characterization of P-groups By Sum of Element Orders

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.

9 pages

Cited by in corpus (1)

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