Associations to the word «Commutator»

COMMUTATOR, noun. An electrical switch, in a generator or motor, that periodically reverses the direction of an electric current

COMMUTATOR, noun. (mathematics) (of a group) an element of the form ghg−1h−1 where g and h are elements of the group; it is equal to the group's identity if and only if g and h commute

COMMUTATOR, noun. (mathematics) (of a ring) an element of the form ab-ba, where a and b are elements of the ring, it is identical to the ring's zero element if and only if a and b commute

COMMUTATOR LENGTH, noun. The number of multiplicands needed, at a minimum, to express a given group element as a product of commutators.

COMMUTATOR LENGTH, noun. The supremum, over all elements of a given group's derived subgroup, of their commutator lengths.

COMMUTATOR LENGTHS, noun. Plural of commutator length

COMMUTATOR SUBGROUP, noun. The subgroup of a specified group generated by the larger group's commutators.

COMMUTATOR SUBGROUPS, noun. Plural of commutator subgroup

COMMUTATOR, noun. Switch for reversing the direction of an electric current.