A note on Markaracter tables of finite groups

Match

Volumn 59, Issue 3, 2008, Pages 595-603

  Ashrafi, A R ^a   Ghorbani, M ^a  

^a UNIVERSITY OF KASHAN   (Iran)

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[No Author keywords available]

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EID: 42349113948     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. A. R. Ashrafi, On non-rigid group theory for some molecules, MATCH Commun. Math. Comput. Chem. 53 (2005) 161-174.
2. K. Balasubramanian, Recent applications of group theory to chemical physics in conceptual quantum chemistry - Models and applications, Croat. Chem. Acta 57 (1984) 1465-1492.
3. K. Balasubramanian, Combinatorics and spectroscopy, in: Chemical Group Theory. Techniques and Applications, Gordon and Breach, Amsterdam 1995.
4. W. Burnside, Theory of Groups of Finite Order, University Press, Cambridge, 1897.
5. S. El-Basil, Prolegomenon on theory and applications of tables of marks, MATCH Commun. Math. Comput. Chem. 46 (2002) 7-23.
6. S. Fujita, Markaracter tables and Q-conjugacy character tables for cyclic groups. an application to combinatorial enumeration, Bull. Chem. Soc. Jpn. 71 (1998) 1587-1596.
7. S. Fujita, Maturity of finite groups. An application to combinatorial enumeration of isomers, Bull. Chem. Soc. Jpn. 71 (1998) 2071-2080.
8. S. Fujita, Inherent automorphism and Q-conjugacy character tables of finite groups, an application to combinatorial enumeretion of isomers, Bull. Chem. Soc. Jpn. 71 (1998) 2309-2321.
9. S. Fujita, Direct subduction of Q-conjugacy representations to give characteristic monomials for combinatorial enumeration, Theor. Chem. Acc. 99 (1998) 404-410.
10. S. Fujita, Subduction of Q-conjugacy representations and characteristic monomials for combinatorial enumeration, Theor. Chem. Acc. 99 (1998) 224-230.
11. S. Fujita, A simple method for enumeration of non-rigid isomers. An application of characteristic monomials, Bull. Chem. Soc. Jpn. 72 (1999) 2403-2407.
12. S. Fujita, Möbius function and characteristic monomials for combinatorial enumeration, Theor. Chem. Acc. 101 (1999) 409-420.
13. S. Fujita, Characteristic monomials with chirality fittingness for combinatorial enumeration of isomers with chiral and achiral ligands, J. Chem. Inf. Comput. Sci. 4 (2000) 1101-1112.
14. S. Fujita, S. El-Basil, Graphical models of marks of groups, MATCH Commun. Math. Comput. Chem. 46 (2002) 121-135.
15. S. Fujita, S. El-Basil, Graphical models of characters of groups, J. Math. Chem. 33 (2003) 255-277.
16. S. Fujita, Orbits among molecules. A novel way of stereochemistry through the concepts of coset representations and sphericities (Part 2), MATCH Commun. Math. Comput. Chem. 55 (2006) 5-38.
17. S. Fujita, Symmetry and Combinatorial Enumeration in Chemistry, Springer-Verlag, Berlin, 1991.
18. S. Fujita, Diagrammatical Approach to Molecular Symmetry and Enumeration of Stereoisomers, Univ. Kragujevac, Kragujevac, 2007.
19. G. James and M. Liebeck, Representations and Characters of Groups, Cambridge University Press, 1993.
20. A. Kerber, Enumeration under finite group action, basic tools, results and methods, MATCH Commun. Math. Comput. Chem. 46 (2002) 151-198.
21. 24, or how to compute the table of marks of a finite group, Experimental Mathematics 6 (1997) 247-270.
22. M. Schonert et al., GAP, Groups, Algorithms and Programming, Lehrstuhl De für Mathematik, RWTH, Aachen, 1992.
23. M. Yavari and A. R. Ashrafi, Computing orbits of big fullerenes, Asian J. Chem., 20 (2008) 409-416.