2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94704A 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.5 pagesGroup Theory20D10; 20D25text