A note on weakly-supplemented subgroups and the solvability of finite groups

Liang, Xin, and Xu, Baiyan. "A note on weakly-supplemented subgroups and the solvability of finite groups." Czechoslovak Mathematical Journal 72.4 (2022): 1045-1046. <http://eudml.org/doc/298891>.

@article{Liang2022,
abstract = {Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. The subgroup $H$ is said to be weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G=HK$. In this note, by using the weakly-supplemented subgroups, we point out several mistakes in the proof of Theorem 1.2 of Q. Zhou (2019) and give a counterexample.},
author = {Liang, Xin, Xu, Baiyan},
journal = {Czechoslovak Mathematical Journal},
keywords = {weakly-supplemented subgroup; solvable group; finite group},
language = {eng},
number = {4},
pages = {1045-1046},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on weakly-supplemented subgroups and the solvability of finite groups},
url = {http://eudml.org/doc/298891},
volume = {72},
year = {2022},
}

TY - JOUR
AU - Liang, Xin
AU - Xu, Baiyan
TI - A note on weakly-supplemented subgroups and the solvability of finite groups
JO - Czechoslovak Mathematical Journal
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 72
IS - 4
SP - 1045
EP - 1046
AB - Suppose that $G$ is a finite group and $H$ is a subgroup of $G$. The subgroup $H$ is said to be weakly-supplemented in $G$ if there exists a proper subgroup $K$ of $G$ such that $G=HK$. In this note, by using the weakly-supplemented subgroups, we point out several mistakes in the proof of Theorem 1.2 of Q. Zhou (2019) and give a counterexample.
LA - eng
KW - weakly-supplemented subgroup; solvable group; finite group
UR - http://eudml.org/doc/298891
ER -