A note on weakly-supplemented subgroups and the solvability of finite groups
Xin Liang, Baiyan Xu (2022)
Czechoslovak Mathematical Journal
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Suppose that is a finite group and is a subgroup of . The subgroup is said to be weakly-supplemented in if there exists a proper subgroup of such that . 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.