On minimal subgroups of finite groups |
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Authors: | Li Shirong |
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Institution: | Department of Mathematics , Shanxi University , Taiyuan, Shanxi, 030006, People’s Republic of China |
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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. |
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Keywords: | Functor homology Homology of symmetrical groups Koszul and de Rham complexes |
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