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On the capability, non-abelian tensor square and non-commuting graph of prime power groups | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 24 خرداد 1404 اصل مقاله (372.88 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 | ||
| تاریخ دریافت: 13 بهمن 1401، تاریخ بازنگری: 15 خرداد 1403، تاریخ پذیرش: 04 تیر 1403 | ||
| 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 | ||
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