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.
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The second author was supported by Korea Research Foundation Grant (KRF-2006-003-00008).
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Hanaki, A., Hirasaka, M. & Uno, K. Commutativity of association schemes of prime square order having non-trivial thin closed subsets. J Algebr Comb 27, 307–316 (2008). https://doi.org/10.1007/s10801-007-0090-3
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DOI: https://doi.org/10.1007/s10801-007-0090-3