Essential subgroup
= Essential subgroup
{wiki=Essential_subgroup}
In group theory, a branch of abstract algebra, an essential subgroup is a specific type of subgroup that has particular relevance in the context of group actions and the structure of groups. A subgroup \\( H \\) of a group \\( G \\) is said to be essential in \\( G \\) if it intersects every nontrivial subgroup of \\( G \\).