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On minimal subgroups of finite groups
Authors:Li Shirong
Institution:Department of Mathematics , Shanxi University , Taiyuan, Shanxi, 030006, People’s Republic of China
Abstract:In this paper, the minimal subgroups of a finite group G are studied. Using the normalizes of Sylow subgroups of G, we obtain some sufficient conditions for G to be p-milpotent and supersolvable, which ae extensions of the related results of Burnside, Ito, Buckley and Asaad.
Keywords:Functor homology  Homology of symmetrical groups  Koszul and de Rham complexes
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