- commutator group
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Math.the subgroup of a given group, which consists of all the commutators in the group.[1960-65]
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Universalium. 2010.
commutator group
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commutator group — Math. the subgroup of a given group, which consists of all the commutators in the group. [1960 65] … Useful english dictionary
Commutator subgroup — In mathematics, more specifically in abstract algebra, the commutator subgroup or derived subgroup of a group is the subgroup generated by all the commutators of the group.[1][2] The commutator subgroup is important because it is the smallest… … Wikipedia
Commutator — This article is about the mathematical concept. For the relation between canonical conjugate entities, see canonical commutation relation. For the type of electrical switch, see commutator (electric). In mathematics, the commutator gives an… … Wikipedia
commutator length — noun a) The number of multiplicands needed, at a minimum, to express a given group element as a product of commutators. In , the commutator length of is two, since it equals but isnt a commutator. b) The supremum, over all elements of a given… … Wiktionary
Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines … Wikipedia
commutator — noun a) an electrical switch, in a generator or motor, that periodically reverses the direction of an electric current b) (of a group) an element of the form ghgh where g and h are … Wiktionary
commutator subgroup — noun The subgroup of a specified group generated by the larger groups commutators. Syn: derived group, derived subgroup … Wiktionary
commutator — noun Date: 1880 1. a series of bars or segments so connected to armature coils of a generator or motor that rotation of the armature will in conjunction with fixed brushes result in unidirectional current output in the case of a generator and in… … New Collegiate Dictionary
commutator — /kom yeuh tay teuhr/, n. 1. Elect. a. a device for reversing the direction of a current. b. (in a DC motor or generator) a cylindrical ring or disk assembly of conducting members, individually insulated in a supporting structure with an exposed… … Universalium
commutator — com•mu•ta•tor [[t]ˈkɒm yəˌteɪ tər[/t]] n. 1) elm a) a device for reversing the direction of a current b) (in a DC motor or generator) a ring or disk assembly that works to change the frequency or direction of current in the armature windings 2)… … From formal English to slang
