Chemistry as Mathematical System - Involutory Forms of Molecules and Their Genetic Codes

Molecules are considered herein as mathematical forms expressed by groups grounded by certain involutory functions characterized axiomatically. For the first time, the basic involutory properties have been determined in the way covering both non-coordination and coordination chemical compounds approached from one view point. Thence, a general notion of a molecule has been derived equivalently to another system of axioms determining molecular forms of chemistry as the result of saturation-unsaturation phenomena. Groups generated by underlying chemical involutions turn out to be different from point or crystallographic ones explored in chemistry. Genetic codes (Dyck's presentations) of molecular involutory groups have been elicited for a few compounds.