A Study on the Structure of Finite Groups with $c-$Subnormal Subgroups

Al Jaraden, Jehad Jumah; Jaraden, Dana M

doi:10.22108/ijgt.2023.137024.1847

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	A Study on the Structure of Finite Groups with $c-$Subnormal Subgroups
International Journal of Group Theory
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 30 مرداد 1402 اصل مقاله (435.37 K)
نوع مقاله: Ischia Group Theory 2022
شناسه دیجیتال (DOI): 10.22108/ijgt.2023.137024.1847
نویسندگان
Jehad Jumah Al Jaraden^* ¹؛ Dana M Jaraden²
¹Department of Mathematics, Al-Hussein Bin Talal University, P.O.Box 20, Ma’an, Jordan
²Department of Mathematics, Al-Zaytoonah University of Jordan, P.O.Box 130, Amman, Jordan
چکیده
In this paper, we use the definition of the concept ``c-Subnormal Subgroup" to study the structure of a given finite group $G$ which contains some $c-$subnormal subgroups. We prove two main theorems, which answer the question of what conditions must hold so that $G$ is an element in a formation $ \mathfrak{U}$ of supersoluble groups. Finally, we state many previous results which can be considered as special cases of these theorems.
کلیدواژه‌ها
Saturated formation؛ $c-$subnormal subgroup؛ sylow subgroup؛ supersoluble group

مراجع
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A Study on the Structure of Finite Groups with $c-$Subnormal Subgroups