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On <Emphasis Type="Italic">c</Emphasis>*-normal subgroups in finite groups
Authors:Hua Quan Wei  Wei Ping Gu  Hong Fei Pan
Institution:(1) School of Mathematics Science, Guangxi Teachers Education University, Nanning, 530001, P. R. China;(2) School of Mathematics and Computer Science, Xinyang Normal University, Xinyang, 464000, P. R. China
Abstract:A subgroup H of a finite group G is called a c*-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and HK is an S-quasinormal embedded subgroup of G. In this paper, the structure of a finite group G with some c*-normal maximal subgroups of Sylow subgroups is characterized and some known related results are generalized.
Keywords:c*-Normal  S-quasinormally embedded  p-nilpotent  p-supersolvable
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