## On weakly-supplemented subgroups and the solvability of finite groups.(English)Zbl 07088787

Summary: A subgroup $$H$$ of a finite group $$G$$ is weakly-supplemented in $$G$$ if there exists a proper subgroup $$K$$ of $$G$$ such that $$G=HK$$. In this paper, some interesting results with weakly-supplemented minimal subgroups or Sylow subgroups of $$G$$ are obtained.

### MSC:

 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, $$\pi$$-length, ranks 20D20 Sylow subgroups, Sylow properties, $$\pi$$-groups, $$\pi$$-structure
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### References:

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