TY - JOUR T1 - The Influence of Primitive Subgroups on the Structure of Finite Groups AU - Liu , Yufeng JO - Communications in Mathematical Research VL - 2 SP - 179 EP - 183 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19016.html KW - primitive subgroup, supersoluble group, structure of group. AB -
A subgroup $H$ of a group $G$ is said to be primitive if it is a proper subgroup of the intersection of all subgroups of $G$ containing $H$ as its proper subgroup. The purpose of this note is to go further into the influence of primitive subgroups on the structure of finite groups. Some new results are obtained.