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A nilpotency criterion for finite groups by the sum of element orders | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 229، دوره 14، شماره 1، فروردین 2023، صفحه 2931-2937 اصل مقاله (367.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27803.3719 | ||
| نویسندگان | ||
| Maghsoud Jahani1؛ Yadollah Marefat* 1؛ Hassan Refaghat2؛ Bahram Vakili Fasaghandisi1 | ||
| 1Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran | ||
| 2Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran | ||
| تاریخ دریافت: 24 اردیبهشت 1401، تاریخ بازنگری: 11 تیر 1401، تاریخ پذیرش: 02 مرداد 1401 | ||
| چکیده | ||
| Let $G$ be a finite group and $\psi(G)=\sum_{g\in G}o(g)$, where $o(g)$ denotes the order of $g\in G$. We give a criterion for nilpotency of finite groups $G$ based on the sum of element orders of $G$. We prove that if $\psi(G)>\frac{13}{21}\psi(C_n)$ then $G$ is a nilpotent group. | ||
| کلیدواژهها | ||
| Finite group؛ element orders sum؛ nilpotent group؛ simple group | ||
| مراجع | ||
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