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Computing the Full Non-Rigid Group of Trimethylborane and Cyclohaxane Using Wreath Product

DOI: 10.4236/ajcm.2020.101002, PP. 23-30

Keywords: Non-Rigid Molecule Group, Trimethylborane, Cyclohaxane, Wreath Product, Character Table, Conjugacy Classes

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Abstract:

This paper computes the group and character table of Trimethylborane and Cyclohaxane. Results show that the groups are isomorphic to the wreath products C3wrC2 and C2wrC6 with orders 81 and 384 and with 17 and 28 conjugacy classes respectively, where Cn denotes a cyclic group of order n.

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