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.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
The authors would like to thank the referee for his or her helpful suggestions and comments.
The authors are supported by NSF of China (10961007, 11161006), NSF of Guangxi (0991101, 0991102), and Guangxi Education Department.
Notes
Communicated by V. A. Artamonov.