@Article{CMR-27-360,
author = {Wang , Junxin},
title = {On Generalized $PST$-Groups},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {27},
number = {4},
pages = {360--368},
abstract = {<p style="text-align: justify;">A finite group $G$ is called a generalized $PST$-group if every subgroup
contained in $F(G)$ permutes all Sylow subgroups of $G$, where $F(G)$ is the Fitting
subgroup of $G.$ The class of generalized $PST$-groups is not subgroup and quotient
group closed, and it properly contains the class of $PST$-groups. In this paper, the
structure of generalized $PST$-groups is first investigated. Then, with its help, groups
whose every subgroup (or every quotient group) is a generalized $PST$-group are determined, and it is shown that such groups are precisely $PST$-groups. As applications, $T$-groups and $PT$-groups are characterized.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19078.html}
}