Perfect group

From Wikipedia, the free encyclopedia

In mathematics, in the realm of group theory, a group is said to be perfect if it equals its own commutator subgroup.

The smallest (non-trivial) perfect group is the alternating group A5. More generally, any non-abelian simple group is perfect since the commutator subgroup is a normal subgroup with abelian quotient.

This algebra-related article is a stub. You can help Wikipedia by expanding it.