A study on the structure of finite groups with $c$-subnormal subgroups
نویسندگان
1 Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain
2 Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain
3 Departament de Matemàtiques, Universitat de València, Dr. Moliner, 50, 46100, Burjassot, València, Spain
doi
10.22108/ijgt.2023.137024.1847چکیده
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.
