A generalization of $c$-Supplementation

Details A generalization of $c$-Supplementation A generalization of $c$-Supplementation

2005-09-20

arxiv.org/abs/math/0509447v1

Mathematics

Group Theory

5 pages

Scientific paper

A subgroup $H$ is said to be $nc$-supplemented in a group $G$ if there is a
subgroup $K\leq G$ such that $HK\unlhd G$ and $H\cap K$ is contained in $H_G$,
the core of $H$ in $G$. We characterize the solvability of finite groups $G$
with some subgroups of Sylow subgroups $nc$-supplemented in $G$. We also give a
result on $c$-supplemented subgroups.

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