Computing the Order, Conjugacy Classes and Character Table of the Full Non-Rigid Group of Cyclopentane Chemical Compound using Wreath Product of Cyclic groups
DOI:
https://doi.org/10.62054/ijdm/0104.07Keywords:
Non-Rigid Group, Cyclopentane, Wreath Product, Conjugacy Classes, Character TableAbstract
The theory of full non-rigid molecular groups (f.NRG) proves useful in exploring the internal dynamics of these molecules. In this study, we determined the group order of Cyclopentane and identified its conjugacy classes. Using computational methods, we calculated the group order, its character table, conjugacy classes and the point group of Cyclopentane was analyzed. Our results showed that the point groups were found to be isomorphic to the Wreath Product 〖 Z〗_5 wrZ_2, where Z_n represents a cyclic group of size n, with order 160 and 16 conjugacy classes. All calculations were performed using GAP 4.11.1.
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