Galoitica: Journal of Mathematical Structures and Applications
Journal DOI
2834-5568ISSN (Online)
Volume 1 , Issue 2 , PP: 13-16, 2022 | Cite this article as | XML | Html | PDF | Full Length Article
A. Alrida Basheer 1 * , Oliver V. Shtawzen 2 , Maretta Sarkis 3 , Rozina Ali 4
Doi: https://doi.org/10.54216/GJMSA.010203
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.
m-power closed group , m-solvable group , super solvable group
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