A subgroup

present participle of subgroup

plural of subgrouping

A group within a larger group; a group whose members are some, but not all, of the members of a larger group.

To divide or classify into subgroups

plural of subgroup

simple past tense and past participle of subgroup

(group theory) A subgroup H of a group G that is invariant under conjugation; that is, for all elements h of H and for all elements g in G, the element ghg⁻¹ is in H.

(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.

plural of Fitting subgroup