The Z-Valued Characters for the Huge Symmetry of Hexamethylethane ()
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.
Share and Cite:
Moghani, A. and Najarian, J. (2016) The Z-Valued Characters for the Huge Symmetry of Hexamethylethane.
Open Journal of Discrete Mathematics,
6, 314-339. doi:
10.4236/ojdm.2016.64026.