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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, 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 \Gamma(G). In this paper, we prove that the alternating groups A_4 and A_5, all groups of order pq, where p and q are prime numbers, and cyclic groups Z_p 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: 70 تعداد دریافت فایل اصل مقاله: 35 |
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