Fitting subgroup
= Fitting subgroup
{wiki=Fitting_subgroup}
In group theory, a **fitting subgroup** is a concept related to the structure of finite groups. Specifically, the Fitting subgroup of a group \\( G \\), denoted as \\( F(G) \\), is defined as the largest nilpotent normal subgroup of \\( G \\). \#\#\# Key Points about Fitting Subgroup: 1. **Nilpotent Group**: A group is nilpotent if its upper central series terminates in the whole group after finitely many steps.