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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper, the structure of a finite group $G$ under the assumption thatthe maximal subgroups of a Sylow subgroup is eithersemi cover-avoiding or $S$-quasinormally embedded subgroups in $G$ are studied.Some new characterizations on the $p$-nilpotency of finite groups are obtained, and some known results are generalized.
Keywords:group theory, semi cover-avoiding subgroup, $S$-quasinormally embedded subgroup, $p$-nilpotent group