A note on m-embedded subgroups of finite groups
Authors : Juping Tang, Long Miao
Pages : 501-506
Doi:10.3906/mat-1402-75
View : 6 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let $A$ be a subgroup of $G$. $A$ is m-embedded in $G$ if $G$ has a subnormal subgroup $T$ and a $\{1\leq G\}$-embedded subgroup $C$ such that $G=AT$ and $T\cap A\leq C\leq A$. In this paper, we study the structure of finite groups by using m-embedded subgroups and obtain some new results about $p$-supersolvability and $p$-nilpotency of finite groups. \vs{-1mm}Keywords : Sylow subgroup, ${1leq G}$-embedded, m-embedded subgroup, saturated formation, finite groups