commutator subgroup

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commutator subgroup [′käm·yə‚tād·ər ′səb‚grüp]

(mathematics)

The subgroup of a given groupGconsisting of all products of the formg₁g₂…g_n, where eachg_iis the commutator of some pair of elements inG.

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No references found			Topics covered include counting of subgroups and proof of the main counting theorems, regular p-groups and regularity criteria, p-groups of maximal class and their characterizations, characters of p-groups, p-groups with large Schur multiplier and commutator subgroups, (p--1)- admissible Hall chains in normal subgroups, powerful p-groups, automorphisms of p-groups, p-groups that have nonnormal subgroups that are all cyclic, and Alberin's problem of abelian subgroups of small index. Groups of prime power order; v.1 by SciTech Book News The subgroup of G generated by the set {[x, y]\| x, : y [member of] G} is called the commutator subgroup of G and will be denoted G'. Finite c-groups by Mahdavi, Kazem; Nguyen, Brian; Ranalli, Ramona R.; Sizemore, James; Stout, Andrew; Swanson, Colleen / Global Journal of Pure and Applied Mathematics			community version community-facilities plan commutated antenna direction finder commutating capacitor commutating pole commutating reactance commutating reactor commutating zone Commutation commutation of sentence Commutation Relations commutation rules commutative commutative algebra commutative diagram commutative group commutative law commutative operation commutative ring Commutativity Commutator commutator head Commutator Machine commutator motor commutator pulse commutator subgroup commutator switch commutator-controlled welding Commynes, Philippe de Comnenus COMNET Como Como Park Como, Lake Como, Perry Comodoro Rivadavia Comoe Comoé Comonfort, Ignacio comonomer Comorin Comoro Islands Comoros Comoros Independence Day Comoros, the comose comovement effect Comoviridae Comovirus COMP compact			Commutative law Commutative local ring Commutative monoid Commutative operation Commutative operation Commutative property Commutative property Commutative Replicated Data Type Commutative ring Commutative rings Commutative semigroup Commutative semigroup Commutative, Unital Banach Algebra commutativity commutativity commutativity commutator commutator commutator Commutator (cryptology) Commutator (cryptology) Commutator (group theory) Commutator (group theory) Commutator bracket Commutator bracket Commutator End commutator head Commutator Machine commutator motor commutator pulse commutator subgroup commutator switch commutator-controlled welding Commutators Commutators commute commute commute commute commute commute Commute (disambiguation) Commute (disambiguation) Commute a sentence Commute a sentence commute between places commute for commute for commute from some place commute into commute into commute into Commute Trip Reduction commuted commuted commuted commuted for commuted for commuted into commuted into Commuted Rations

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