Abstract
A subgroup H of a finite group G is called c*-normal in G if there exists a normal subgroup K of G such that G = HK and H ∩ K is S-quasinormally embedded in G. In this paper, the structure of a finite group G with some c*-normal subgroups of Sylow p-subgroups with an any fixed order is characterized and some known related results on p-nilpotency of finite groups are generalized.
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