Fitting subgroup

This article defines a subgroup-defining function, viz., a rule that takes a group and outputs a unique subgroup
View a complete list of subgroup-defining functions OR View a complete list of quotient-defining functions

History

Origin

The notion of Fitting subgroup was introduced by Hans Fitting.

Definition

Symbol-free definition

The Fitting subgroup of a group is defined as the subgroup generated by all its nilpotent normal subgroups. When the group is finite, it can also be defined as the unique largest normal nilpotent subgroup.

Definition with symbols

Denoted as $F(G)$.

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