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On association schemes with commutative thin thin residue | ||
| Transactions on Combinatorics | ||
| مقاله 4، دوره 3، شماره 3، آذر 2014، صفحه 35-41 اصل مقاله (308.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2014.5491 | ||
| نویسنده | ||
| Javad Bagherian* | ||
| Department of Mathematics-University of Isfahan-P.O. Box 81746-73441 Isfahan, Iran | ||
| چکیده | ||
| The main result of this paper gives a characterization of association schemes having commutative thin thin residue. This gives a generalization of Ito's Theorem on finite groups for association schemes. | ||
| کلیدواژهها | ||
| association scheme؛ strongly normal؛ thin residue | ||
| مراجع | ||
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A. Hanaki (2011) Faithful representation of association schemes Proc. Amer. Math. Soc. 139, 3191-3193
A. Hanaki (2009) Clifford theory for association schemes J. Algebra 321, 1686-1695
A. Hanaki (2008) Nilpotent schemes and group-like schemes J. Combin. Theory Ser. A 115, 226-236
A. Hanaki (2003) Representations of association schemes and their factor schemes Graphs Combin. 19, 195-201
A. Hanaki Data for Association Schemes http://kissme.shinshu-u.ac.jp/as/data
M. Hirasaka and M. Muzychuk (2002) Association schemes generated by a non-symmetric relation of valency 2 Discrete Math. 244, 109-135
M. Isaacs (1994) Character Theory of Finite Groups Dover Publications, Inc., New York
P.-H. Zieschang (2005) Theory of Association Schemes Springer Monographs in Mathematics, Springer-Verlag, Berlin
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