commutator subgroup
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English
[edit]Noun
[edit]commutator subgroup (plural commutator subgroups)
- (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
[edit]Further reading
[edit]- commutator subgroup on Wikipedia.Wikipedia