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 no non-trivial abelian quotients. == Examples == The smallest (non-trivial) perfect group is the alternating group A5.
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 no non-trivial abelian quotients. == Examples == The smallest (non-trivial) perfect group is the alternating group A5.
Source: Wikipedia "Perfect group" · CC BY-SA 4.0
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