Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X39620131215The nc-supplemented subgroups of finite groups12131222471ENS.GuoSchool of Science, Sichuan University of Science & Engineering, 643000, Zigong, P.
R. ChinaS.LiuSchool of Science, Sichuan University of Science & Engineering, 643000, Zigong, P.
R. ChinaW. J.ShiSchool of Mathematics and Statistics, Chongqing University of Arts and Sciences,
402160, Chongqing, P. R. ChinaJournal Article20110910A subgroup $H$ is said to be <br />$nc$-supplemented in a group $G$ if there exists a subgroup $Kleq G$ <br />such that $HKlhd G$ and $Hcap K$ is contained in $H_{G}$, the core <br />of $H$ in $G$. We characterize the supersolubility of finite groups $G$ <br />with that every maximal subgroup of the Sylow subgroups is $nc$-supplemented in $G$.http://bims.iranjournals.ir/article_471_8d89af79f6fda3147747ae4a8991ca77.pdf