Commutator subgroup

Noun

Word Frequency: 0.0

Definitions

1.NounThe subgroup of a specified group generated by the larger group's commutators.

"The commutator subgroup is important because it is the smallest normal subgroup such that the quotient group of the original group by this subgroup is abelian."

Synonyms

derived group derived subgroup commutant commutator abelian group commutator length multicommutator commutative algebra centralizer commutative ring additive group torsion subgroup

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