commutator subgroup

English

Noun

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]

Synonyms

• derived group
• derived subgroup

Further reading

• commutator subgroup on Wikipedia.Wikipedia