On the Recognition of Composed Systems of Stereocenters in Molecular Graph Theory by Wreath Products

We are going to demonstrate how group theory can be used for the detection, classification and valida-tion of systems of related stereo centers in molecules. At the core of the formalism, which is suitable for computer programming and has been tested against ten million organic compounds, lies an analysis of the transformational properties of the molecule in terms of the action of those symmetry operations that conform to its graph theoretical structure while possibly modifying its stereochemical properties