commutator subgroup

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English[edit]

Noun[edit]

commutator subgroup (plural commutator subgroups)

  1. (algebra) 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]

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Further reading[edit]

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