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Finite groups with S-permutable n-minimal subgroups
Authors:Hongfei Pan
Affiliation:School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu, China
Abstract:We study the supersolvability of finite groups and the nilpotent length of finite solvable groups under the assumption that all their exactly n-minimal subgroups are S-permutable, where n is an arbitrary integer.
Keywords:Finite group  n-minimal subgroup  S-permutable subgroup  solvable group
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