(mathematics) For a finite group G: the unique largest normal nilpotent subgroup of G, which intuitively represents the smallest subgroup that "controls" the structure of G when G is solvable.

plural of normal subgroup

The subgroup of a specified group generated by the larger group's commutators.

The subgroup of a specified group generated by the larger group's commutators.

plural of derived subgroup

plural of commutator subgroup

(algebra) Subgroup of an abelian group whose generators have finite order.