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A study on the structure of finite groups with c-subnormal subgroups

Publish Year: 1403
Type: Journal paper
Language: English
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JR_THEGR-13-4_002

Index date: 24 August 2024

A study on the structure of finite groups with c-subnormal subgroups abstract

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.

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A study on the structure of finite groups with c-subnormal subgroups authors

Jehad Al Jaraden

Department of Mathematics, Al-Hussein Bin Talal University, P.O.Box ۲۰, Ma’an, Jordan

Dana Jaraden

Department of Mathematics, Al-Zaytoonah University of Jordan, P.O.Box ۱۳۰, Amman, Jordan

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