Jordan-Hölder decomposition

A Jordan–Hölder decomposition of a group G is a filtrationMathworldPlanetmathPlanetmath


such that Gi+1 is a normal subgroupMathworldPlanetmath of Gi and the quotient Gi/Gi+1 is a simple groupMathworldPlanetmathPlanetmath for each i.

Title Jordan-Hölder decomposition
Canonical name JordanHolderDecomposition
Date of creation 2013-03-22 12:08:41
Last modified on 2013-03-22 12:08:41
Owner djao (24)
Last modified by djao (24)
Numerical id 9
Author djao (24)
Entry type Definition
Classification msc 20E15
Synonym composition seriesMathworldPlanetmathPlanetmathPlanetmath
Related topic DerivedSubgroup
Related topic JordanHolderDecompositionTheorem