On complemented subgroups of finite groups
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In this paper, it is proved that the class of all finite supersoluble groups with elementary abelian Sylow subgroups is just the class of all finite groups for which every minimal subgroup is complemented. The structure of a finite group under the assumption that all maximal subgroups (respectively 2-maximal) of any Sylow subgroup are complemented is also analyzed.
KeywordsFinite Group Maximal Subgroup Sylow Subgroup Minimal Subgroup Supersoluble Group
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