1
School of Science, Sichuan University of Science & Engineering, 643000, Zigong, P. R. China
2
School of Mathematics and Statistics, Chongqing University of Arts and Sciences, 402160, Chongqing, P. R. China
Abstract
A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there exists a subgroup $Kleq G$ such that $HKlhd G$ and $Hcap K$ is contained in $H_{G}$, the core of $H$ in $G$. We characterize the supersolubility of finite groups $G$ with that every maximal subgroup of the Sylow subgroups is $nc$-supplemented in $G$.
Guo, S., Liu, S. & Shi, W. J. (2013). The nc-supplemented subgroups of finite groups. Bulletin of the Iranian Mathematical Society, 39(6), 1213-1222.
MLA
Guo, S., Liu, S., & Shi, W. J. "The nc-supplemented subgroups of finite groups", Bulletin of the Iranian Mathematical Society, 39, 6, 2013, 1213-1222.
HARVARD
Guo S., Liu S., Shi W. J. (2013). 'The nc-supplemented subgroups of finite groups', Bulletin of the Iranian Mathematical Society, 39(6), pp. 1213-1222.
CHICAGO
S. Guo, S. Liu & W. J. Shi, "The nc-supplemented subgroups of finite groups," Bulletin of the Iranian Mathematical Society, 39 6 (2013): 1213-1222,
VANCOUVER
Guo S., Liu S., Shi W. J. The nc-supplemented subgroups of finite groups. BIMS. 2013;39(6):1213-1222.