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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

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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.

  • AMS Subject Headings

20D10, 20D25

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-179, author = {Liu , Yufeng}, 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.

Liu , Yufeng. (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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