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 normal subgroup

(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 Fitting subgroup

(algebra) Said of a group acting on a set, and with respect to an element of that set: the subgroup of the given group whose action on the given element of the set that the group acts on leaves that element fixed.

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

(mathematics) A subset of a groupoid closed under inversion and composition.

plural of subgroupoid