Fully normalized subgroup (source code)

= Fully normalized subgroup
{wiki=Fully_normalized_subgroup}

In the context of group theory, the concept of a **fully normalized subgroup** pertains to a subgroup that is maximal with respect to the property of being normal in a certain sense. Specifically, a subgroup \\( H \\) of a group \\( G \\) is said to be fully normalized if it is normal in every subgroup of \\( G \\) that contains it.