Open Journal of Discrete Mathematics

Volume 6, Issue 4 (October 2016)

ISSN Print: 2161-7635   ISSN Online: 2161-7643

Google-based Impact Factor: 0.64  Citations  

The Z-Valued Characters for the Huge Symmetry of Hexamethylethane

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DOI: 10.4236/ojdm.2016.64026    1,276 Downloads   1,895 Views  Citations

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.

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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.

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