essential subgroup

A subgroup $H$ of a group $G$ is essential if $H\cap K\neq\left\{e\right\}$ for any subgroup $K$ of $G$, $K\neq\left\{e\right\}$ (i.e., a subgroup $H$ of $G$ is called essential if it intersects non-trivially every non-trivial subgroup of $G$).

Title essential subgroup EssentialSubgroup 2013-03-22 15:31:05 2013-03-22 15:31:05 gh0st (10693) gh0st (10693) 5 gh0st (10693) Definition msc 20F99 Group Subgroup EssentialSubmodule