solvable group

A group G is solvable if it has a subnormal series


where all the quotient groupsMathworldPlanetmath Gi/Gi+1 are abelianMathworldPlanetmath.

Title solvable group
Canonical name SolvableGroup
Date of creation 2013-03-22 12:08:53
Last modified on 2013-03-22 12:08:53
Owner djao (24)
Last modified by djao (24)
Numerical id 11
Author djao (24)
Entry type Definition
Classification msc 20A05
Synonym solvable
Synonym soluble group
Related topic DerivedSubgroup
Related topic CompositionSeries2
Related topic GaloisCriterionForSolvabilityOfAPolynomialByRadicals