Superperfect group
= Superperfect group
{wiki=Superperfect_group}
In group theory, a branch of abstract algebra, a **superperfect group** is a type of group that extends the concept of perfect groups. By definition, a group \\( G \\) is perfect if its derived group (also called the commutator subgroup), denoted \\( \[G, G\] \\), equals \\( G \\) itself. This means that \\( G \\) has no nontrivial abelian quotients.