A new approach to maturity of molecules by rationality of finite groups

摘要

These two concepts, maturity in chemistry and rationality in group theory were discovered by a chemist, Fujita. In the present study,we introduce a newapproach to maturity and immaturity of simple groups, using the deep theorem (Feit and Seitz in Ill J Math 33:101-131, 1988). Additionally, we prove that 1,3,5-trimethyl-2,4,6- trinitrobenzene are always unmatured and tetra platinum(II) with point group D2n, dihedral group of order 2n, is unmatured if n≠1, 2, 3, 4, 6. Also, we compute integer-valued characters of the simple sporadic group Ly.