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

Yufeng Liu

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

Published online: 2021-05

Export citation
  • 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.

  • AMS Subject Headings

20D10, 20D25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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:
Copy to clipboard
The citation has been copied to your clipboard