The influence of s-semipermutable subgroups on the structure of finite groups |
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Authors: | Na Tang Wenbin Guo V. V. Kabanov |
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Affiliation: | 1.Department of Mathematics,Huaiyin Teachers College,Huaian,China;2.Department of Mathematics,Xuzhou Normal University,Xuzhou,China;3.Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Ekaterinburg,Russia |
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Abstract: | A subgroup H of a group G is called s-semipermutable in G if H is permutable with every Sylow p-subgroup of G with (p, |H|) = 1. In this paper, we use s-semipermutable subgroups to determine the structure of finite groups. Some of the previous results are generalized. |
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