
تعداد نشریات | 43 |
تعداد شمارهها | 1,715 |
تعداد مقالات | 14,054 |
تعداد مشاهده مقاله | 34,041,355 |
تعداد دریافت فایل اصل مقاله | 13,630,802 |
The influence of $\mathscr{H}$-subgroups on $p$-nilpotency and $p$-supersolvability of finite groups | ||
International Journal of Group Theory | ||
مقاله 6، دوره 13، شماره 1، خرداد 2024، صفحه 55-62 اصل مقاله (415.68 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.135208.1806 | ||
نویسندگان | ||
Quanfu Yan* 1؛ Zhencai Shen2 | ||
1Department of Mathematical Sciences, Kent State University, Kent, USA | ||
2Department of Mathematics, College of Science, China Agricultural University, Beijing, China. | ||
چکیده | ||
Let $G$ be a finite group. A subgroup $H$ of $G$ is an $\mathscr{H}$-subgroup in $G$ if $N_G(H)\cap H^g \leq H$ for any $g \in G$. In this article, by using the concept of $\mathscr{H}$-subgroups, we study the influence of the intersection of $O^p(G_p^*)$ and the members of some fixed $\mathcal{M}_d(P)$ on the structure of the group $G$, where $P$ is a Sylow $p$-subgroup of $G.$ Some new criteria for a group to be $p$-nilpotent and $p$-supersolvable are given and some recent results are extended and generalized. | ||
کلیدواژهها | ||
$\mathscr{H}$-subgroup؛ weakly $\mathscr{H}$-subgroup؛ $p$-supersolvablility؛ $p$-nilpotency | ||
مراجع | ||
[1] M. Asaad, A. A. Heliel and M. M. Al-Mosa Al-Shomrani, On weakly H -subgroups of finite groups, Comm. Algebra, 40 (2012) 3540–3550. [17] H. Yu, X. Xu and G. Zhang, A note on S-semipermutable and S-permutably embedded subgroups of finite groups, Ricerche mat., 105 (2022). https://doi.org/10.1007/s11587-022-00717-1.
| ||
آمار تعداد مشاهده مقاله: 261 تعداد دریافت فایل اصل مقاله: 277 |