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Characters of association schemes containing a strongly normal closed subset of prime index
Authors:Akihide Hanaki
Institution:Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan
Abstract:We consider a relation between characters of an association scheme and its strongly normal closed subsets with prime index. As an application of our result, we show that an association scheme of prime square order with a proper strongly normal closed subset is commutative.

Keywords:Association scheme  strongly normal closed subset  character  Clifford theory  group-graded algebra
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