## On complemented subgroups of finite groups.(English)Zbl 1157.20323

Summary: A subgroup $$H$$ of a group $$G$$ is said to be complemented in $$G$$ if there exists a subgroup $$K$$ of $$G$$ such that $$G=HK$$ and $$H\cap K=1$$. In this paper we determine the structure of finite groups with some complemented primary subgroups, and obtain some new results about $$p$$-nilpotent groups.

### MSC:

 20D40 Products of subgroups of abstract finite groups 20D15 Finite nilpotent groups, $$p$$-groups 20D20 Sylow subgroups, Sylow properties, $$\pi$$-groups, $$\pi$$-structure
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### References:

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