TITLE:
The Z-Valued Characters for the Huge Symmetry of Hexamethylethane
AUTHORS:
Ali Moghani, John P. Najarian
KEYWORDS:
Symmetry, Dominant Class, Hexamethylethane, Character
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.6 No.4,
October
28,
2016
ABSTRACT: To enumerate isomers of the fluxional molecules, some theorems for maturity and the integer-valued characters of finite groups were introduced by S. Fujita and first author. The full non-rigid group of hexamethylethane is the semi-direct product of the direct products of six copies of the cyclic group Z3 by the dihedral group of order 12 (see, Asian J. Chem. (2010) 22 (3), 1966-1972). In this paper, we continue our study on finite groups (see Int. J. Theo. Physics, Group Theory, and Nonlinear Optics (2013), 17) and all the integer-valued characters of the above molecule are successfully derived.