Turkish Journal of Mathematics
DOI
10.3906/mat-1402-75
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, $\{1\leq G\}$-embedded, m-embedded subgroup, saturated formation, finite groups
First Page
501
Last Page
506
Recommended Citation
TANG, JUPING and MIAO, LONG
(2015)
"A note on m-embedded subgroups of finite groups,"
Turkish Journal of Mathematics: Vol. 39:
No.
4, Article 5.
https://doi.org/10.3906/mat-1402-75
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss4/5
