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The influence of s-semipermutable subgroups on the structure of finite groups
Authors:Na Tang  Wenbin Guo  V. V. Kabanov
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
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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