1
Imam Kadhum College, Iraq
(basheerabdalrida66n@gmail.com)
2
University Of Nizwa, Nizwa, Oman
(Vonshtawzen1970abc@gmail.com)
3
Abu Dhabi University, Abu Dhabi, UAE
(Sarkismaretta1990@gmail.com)
4
Cairo University, Egypt
(rozyyy123n@gmail.com)
Abstract :
This paper is dedicated to study some properties of finite groups, where we present the following results: 1) If all centralizers of a group G are cyclic, then G is not simple. 2) If the center of the subgroup A is not trivial and B is cyclic, then G=AB is not simple. On the other hand, we define the m-solvable groups, and we examine some of their elementary properties.
Keywords :
m-power closed group; m-solvable group; super solvable group
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| Style | # |
|---|---|
| MLA | A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali. "On Some Results about Finite Non Simple Groups." Galoitica: Journal of Mathematical Structures and Applications, Vol. 1, No. 2, 2022 ,PP. 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |
| APA | A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali. (2022). On Some Results about Finite Non Simple Groups. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 2 ), 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |
| Chicago | A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali. "On Some Results about Finite Non Simple Groups." Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 no. 2 (2022): 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |
| Harvard | A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali. (2022). On Some Results about Finite Non Simple Groups. Journal of Galoitica: Journal of Mathematical Structures and Applications, 1 ( 2 ), 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |
| Vancouver | A. Alrida Basheer , Oliver V. Shtawzen , Maretta Sarkis , Rozina Ali. On Some Results about Finite Non Simple Groups. Journal of Galoitica: Journal of Mathematical Structures and Applications, (2022); 1 ( 2 ): 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |
| IEEE | A. Alrida Basheer, Oliver V. Shtawzen, Maretta Sarkis, Rozina Ali, On Some Results about Finite Non Simple Groups, Journal of Galoitica: Journal of Mathematical Structures and Applications, Vol. 1 , No. 2 , (2022) : 13-16 (Doi : https://doi.org/10.54216/GJMSA.010203) |