Abstract
Traditional textbooks [1–3] on chemical group theory deal with linear representations and character tables of groups, which are usually directed to modeling molecular vibrations, infrared spectroscopy, and symmetrysimplification of secular-determinants in molecular orbital calculations. On the other hand, Fujita [4] adopted an alternative approach which is based on permutation representations (coset representations) and mark tablesg, where he developed the USCI (unit-subducedcycle-index) method [4, 5], aiming at studying combinatorial enumeration in chemistry. The two approaches of chemical group theory have been compared [6] after the development of the characteristic-monomial method for combinatorial enumeration on the basis of the former approach [7, 8]. While the former approach requires conjugacy relations between elements of a group only, the latter approach requires a knowledge of all group/subgroup relations which may not be trivial to find out. Usually a group G is expressed as the set of elements of symmetry g’s which it contains:
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
