The CM (characteristic monomial) method developed by us (S. Fujita, Theor. Chem. Acc., 99, 224–230 (1998), S. Fujita, J. Chem. Inf. Comput. Sci., 40, 1101–1112 (2000)) is applied to enumeration of cubane derivatives with chiral and achiral proligands. For this purpose, CM-CFs (characteristic monomials with chirality fittingness) are calculated by emphasizing the interconvertivity between Q-conj...

Let G be a finite group and C(G) be the family of representative conjugacy classes of subgroups of G. The matrix whose H;K-entry is the number of fixed points of the set G=K under the action of H is called the table of marks of G where H;K run through all elements in C(G). In this paper, we compute the table of marks and the markaracter table of groups of order pqr where p, q, r are prime numbers.

Let G be a finite group and C(G) be the family of representative conjugacy classes of‎ ‎subgroups of G‎. ‎The matrix whose H,K-entry is the number of ‎fixed points of the set G/K under the action of H is called the‎ ‎table of marks of G where H,K run through all elements in‎ C(G)‎. Shinsaku Fujita for the first time introduced the term “markaracter” to discuss marks for permutation representati...

The extended superposition method, which has been developed by us as an extension of the concept of elementary superposition (S. Fujita, Theor. Chim. Acta, 82, 473–498 (1992)), is applied to enumeration of cubane derivatives with chiral and achiral proligands. This method provides us with a tool for evaluating the respective contribution of each USCI-CF (unit subduced-cycle index with chirality...