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

Xin Liang;  Baiyan Xu — 2022

Czechoslovak Mathematical Journal

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 = H K . 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.

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