The Influence of Primitive Subgroups on the Structure of Finite Groups

The Influence of Primitive Subgroups on the Structure of Finite Groups

Year:    2013

Author:    Yufeng Liu

Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-CMR-19016

Communications in Mathematical Research , Vol. 29 (2013), Iss. 2 : pp. 179–183

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    primitive subgroup supersoluble group structure of group.

Author Details

Yufeng Liu