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Characterization of some finite groups by prime order element graph | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 11، شماره 1، خرداد 2026، صفحه 81-85 اصل مقاله (289.12 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.12206.1142 | ||
| نویسنده | ||
| Zahra Momen* | ||
| Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, I. R. Iran. | ||
| تاریخ دریافت: 11 تیر 1404، تاریخ بازنگری: 22 مهر 1404، تاریخ پذیرش: 21 آبان 1404 | ||
| چکیده | ||
| For a finite group G, the prime order element graph of G, is defined as follows: the vertex set is the elements of G and two distinct vertices a and b are adjacent if and only if order of ab is prime. This graph is denoted by γ(G). In this paper, we prove that the alternating groups A4 and A5, all groups of order pq, where p and q are prime numbers, and cyclic groups Zp of prime order are uniquely characterized by the prime order element graph. | ||
| کلیدواژهها | ||
| finite group؛ prime order element graph؛ characterization؛ alternating group | ||
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آمار تعداد مشاهده مقاله: 101 تعداد دریافت فایل اصل مقاله: 51 |
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