Research ArticleNo Access

Finite groups with Hall normally embedded subgroups

Qinghong Guo

College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, P. R. China

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Xuanli He

https://orcid.org/0000-0002-1375-1845

College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, P. R. China

E-mail Address: hxlczh@gxu.edu.cn

Corresponding author.

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, and

Muhong Huang

College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, P. R. China

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https://doi.org/10.1142/S0219498823501943Cited by:6 (Source: Crossref)

Abstract

Let $G$ be a finite group. A subgroup $H$ of $G$ is called Hall normally embedded in $G$ if $H$ is a Hall subgroup of the normal closure $H^{G}$ . In this paper, we investigate the structure of a finite group $G$ under the assumption that certain subgroups of prime power order are Hall normally embedded in $G$ .

Communicated by M. L. Lewis

Keywords:

AMSC: Primary: 20D10, Primary: 20D20

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