A study on the structure of finite groups with $c$-subnormal subgroups
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...
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| Format: | Article |
| Language: | English |
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University of Isfahan
2023-08-01
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| Series: | International Journal of Group Theory |
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| Online Access: | https://ijgt.ui.ac.ir/article_27757_f121810b410af6306380cecd827573a4.pdf |
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| author | Jehad Al Jaraden Dana Jaraden |
| author_facet | Jehad Al Jaraden Dana Jaraden |
| author_sort | Jehad Al Jaraden |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-794ead8c896d4eb280f98f8bd4d13bd0 |
| institution | Kabale University |
| issn | 2251-7650 2251-7669 |
| language | English |
| publishDate | 2023-08-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj-art-794ead8c896d4eb280f98f8bd4d13bd02024-11-20T10:50:45ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692023-08-0113432934410.22108/ijgt.2023.137024.184727757A study on the structure of finite groups with $c$-subnormal subgroupsJehad Al Jaraden0Dana Jaraden1Department of Mathematics, Al-Hussein Bin Talal University, P.O.Box 20, Ma’an, JordanDepartment of Mathematics, Al-Zaytoonah University of Jordan, P.O.Box 130, Amman, JordanIn 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.https://ijgt.ui.ac.ir/article_27757_f121810b410af6306380cecd827573a4.pdfsaturated formation$c-$subnormal subgroupsylow subgroupsupersoluble group |
| spellingShingle | Jehad Al Jaraden Dana Jaraden A study on the structure of finite groups with $c$-subnormal subgroups International Journal of Group Theory saturated formation $c-$subnormal subgroup sylow subgroup supersoluble group |
| title | A study on the structure of finite groups with $c$-subnormal subgroups |
| title_full | A study on the structure of finite groups with $c$-subnormal subgroups |
| title_fullStr | A study on the structure of finite groups with $c$-subnormal subgroups |
| title_full_unstemmed | A study on the structure of finite groups with $c$-subnormal subgroups |
| title_short | A study on the structure of finite groups with $c$-subnormal subgroups |
| title_sort | study on the structure of finite groups with c subnormal subgroups |
| topic | saturated formation $c-$subnormal subgroup sylow subgroup supersoluble group |
| url | https://ijgt.ui.ac.ir/article_27757_f121810b410af6306380cecd827573a4.pdf |
| work_keys_str_mv | AT jehadaljaraden astudyonthestructureoffinitegroupswithcsubnormalsubgroups AT danajaraden astudyonthestructureoffinitegroupswithcsubnormalsubgroups AT jehadaljaraden studyonthestructureoffinitegroupswithcsubnormalsubgroups AT danajaraden studyonthestructureoffinitegroupswithcsubnormalsubgroups |