Volume 29, Issue 2
The Influence of Primitive Subgroups on the Structure of Finite Groups

Commun. Math. Res., 29 (2013), pp. 179-183.

Published online: 2021-05

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• Abstract

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.

• Keywords

primitive subgroup, supersoluble group, structure of group.

20D10, 20D25

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@Article{CMR-29-179, author = {Yufeng and Liu and and 18946 and and Yufeng Liu}, title = {The Influence of Primitive Subgroups on the Structure of Finite Groups}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {2}, pages = {179--183}, abstract = {

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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19016.html} }
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.

Yufeng Liu. (2021). The Influence of Primitive Subgroups on the Structure of Finite Groups. Communications in Mathematical Research . 29 (2). 179-183. doi:
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