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In mathematics, more specifically in group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has ...
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Jun 12, 2022 · A (discrete) group G G is perfect if it is equal to its own commutator subgroup [ G , G ] [G, G] , i.e., if every element of G G is a product of ...
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A group that coincides with its commutator subgroup. If G is a non-Abelian group, its commutator subgroup is a normal subgroup other than the trivial group.