TY - JOUR
ID - 471
TI - The nc-supplemented subgroups of finite groups
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Guo, S.
AU - Liu, S.
AU - Shi, W. J.
AD - School of Science, Sichuan University of Science & Engineering, 643000, Zigong, P.
R. China
AD - School of Mathematics and Statistics, Chongqing University of Arts and Sciences,
402160, Chongqing, P. R. China
Y1 - 2013
PY - 2013
VL - 39
IS - 6
SP - 1213
EP - 1222
KW - soluble group
KW - $nc$-supplemented subgroup
KW - Normal subgroup
KW - Supersoluble group
DO -
N2 - 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 $G$.
UR - http://bims.iranjournals.ir/article_471.html
L1 - http://bims.iranjournals.ir/article_471_8d89af79f6fda3147747ae4a8991ca77.pdf
ER -