# Fitting group

From Groupprops

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism

View a complete list of group propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

This is a variation of nilpotence|Find other variations of nilpotence | Read a survey article on varying nilpotence

## Contents

## Definition

### Symbol-free definition

A group is said to be a **Fitting group** if it equals its own Fitting subgroup, or equivalently, if it is generated by the family of its nilpotent normal subgroups.