Commutator subgroup

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    The 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.^([wikipedia])"

Synonyms

All synonyms
derivative group

Example

More examples

"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.^([wikipedia])"

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