(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 H ⊂ K 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.