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