@Article{JMS-49-1,
author = {Yuemei, Mao and Xiaojian, Ma},
title = {On $\mathfrak{F}_\tau$-$s$-Supplemented Subgroups of Finite Groups},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {1},
pages = {50--56},
abstract = {<p style="text-align: justify;">Let $\mathfrak{F}$ be a non-empty formation of groups, $\tau$ a subgroup functor and $H$ a $p$-subgroup of a finite group $G.$ Let $\overline{G}=G/H_G$ and $\overline{H} =H/H_G.$ We say that $H$ is $\mathfrak{F}_\tau$-$s$-supplemented in $G$ if for some subgroup $\overline{T}$ and some $\tau$-subgroup $\overline{S}$ of $\overline{G}$ contained
in $\overline{H},$ $\overline{H}\overline{T}$ is subnormal in $\overline{G}$ and $\overline{H} ∩ \overline{T} ≤ \overline{S}Z_{\mathfrak{F}}(\overline{G}).$ In this paper, we investigate the
influence of $\mathfrak{F}_\tau$-$s$-supplemented subgroups on the structure of finite groups. Some
new characterizations about solubility of finite groups are obtained.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v49n1.16.06},
url = {https://global-sci.com/article/87789/on-mathfrakf-tau-s-supplemented-subgroups-of-finite-groups}
}