Broken Symmetry Groups, Tables, and Structural Images in the Computer Experiment

Resumo

The results of investigation of the extended and broken symmetry substitution groups for elements of finite number sets are presented, with examples of the corresponding abstract structures, their computer visualization, and application in description of real structures. When studying the tables of binary transformations with broken symmetry in a computer experiment, transformation subsets (“evolutionary trees”) with convergent and divergent properties of structure oriented graph have been revealed.