Fitting group

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

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.

Relation with other properties

Stronger properties

• Nilpotent group