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The Z-Valued Characters for the Huge Symmetry of Hexamethylethane

The Z-Valued Characters for the Huge Symmetry of Hexamethylethane
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摘要 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. 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.
作者 Ali Moghani John P. Najarian Ali Moghani;John P. Najarian(Department of Computer Science, William Paterson University, Wayne, NJ, USA)
出处 《Open Journal of Discrete Mathematics》 2016年第4期314-339,共27页 离散数学期刊(英文)
关键词 SYMMETRY Dominant Class Hexamethylethane CHARACTER Symmetry Dominant Class Hexamethylethane Character
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