perfect group

A group $G$ is called perfect if $G=[G,G]$, where $[G,G]$ is the derived subgroup of $G$, or equivalently, if the abelianization of $G$ is trivial.

Title	perfect group
Canonical name	PerfectGroup
Date of creation	2013-03-22 13:56:24
Last modified on	2013-03-22 13:56:24
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	4
Author	bwebste (988)
Entry type	Definition
Classification	msc 20F99
Synonym	perfect