The influence of the structure of Sylow subgroups on the structure of finite groups

Document Type : Original Article

Author
Hamid Mousavi
10.22034/mmr.2026.11729
Abstract
The structure of Sylow subgroups within a finite group is an area of interest for many researchers, leading to numerous published papers on the topic. This paper will examine how the cyclicity or normality of specific silo subgroups affects the overall structure of the finite group.



The structure of Sylow subgroups within a finite group is an area of interest for many researchers, leading to numerous published papers on the topic. This paper will examine how the cyclicity or normality of specific silo subgroups affects the overall structure of the finite group.



The structure of Sylow subgroups within a finite group is an area of interest for many researchers, leading to numerous published papers on the topic. This paper will examine how the cyclicity or normality of specific silo subgroups affects the overall structure of the finite group.



The structure of Sylow subgroups within a finite group is an area of interest for many researchers, leading to numerous published papers on the topic. This paper will examine how the cyclicity or normality of specific silo subgroups affects the overall structure of the finite group.
Keywords
Soluble group
Nilpotent group
Sylow subgroup
Finite groups
Subjects