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Commutativity of association schemes of prime square order having non-trivial thin closed subsets |
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| Authors: | Akihide Hanaki Mitsugu Hirasaka Katsuhiro Uno |
| Institution: | (1) Faculty of Science, Shinshu University, Matsumoto 390-8621, Japan;(2) Department of Mathematics, College of Science, Pusan National University Kumjung, Pusan, 609-735, Republic of Korea;(3) Department of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka 582-8582, Japan |
| Abstract: | Through a study of the structure of the modular adjacency algebra over a field of positive characteristic p for a scheme of prime order p and utilizing the fact that every scheme of prime order is commutative, we show that every association scheme of prime square order having a non-trivial thin closed subset is commutative. The second author was supported by Korea Research Foundation Grant (KRF-2006-003-00008). |
| Keywords: | Association scheme Closed subset Character |
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