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 abelianizationMathworldPlanetmath 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