On the capability, non-abelian tensor square and non-commuting graph of prime power groups

	On the capability, non-abelian tensor square and non-commuting graph of prime power groups
International Journal of Nonlinear Analysis and Applications
مقاله 1، دوره 17، شماره 7، مهر 2026، صفحه 1-7 اصل مقاله (369.03 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.29806.4264
نویسندگان
Abdulqader Mohammed Abdullah Basri¹؛ Kayvan Moradipour^* ²
¹Department of Mathematics, College of Education, Seiyun University (SU), Yemen
²Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran
چکیده
In this paper, we give necessary and sufficient conditions under which finite non-abelian metacyclic $p$-group ($p$ an odd prime) $G$ is capable. We also, determine the non-abelian tensor square $ G\otimes G$ for the groups of order $p^{\alpha+\beta}$ for some $\alpha, \beta\in \mathbb{N}$. Finally, we obtain some conditions on the parameters of two prime power groups $G_p$ and $G_q$ in which the groups have isomorphic non-commuting graphs.
کلیدواژه‌ها
Prime power group؛ capable group؛ tensor square؛ isomorphic graphs
مراجع

آمار تعداد مشاهده مقاله: 408 تعداد دریافت فایل اصل مقاله: 598

پیوندهای مفید

آمار