Characters of association schemes containing a strongly normal closed subset of prime index
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- by Akihide Hanaki
- Proc. Amer. Math. Soc. 135 (2007), 2683-2687
- DOI: https://doi.org/10.1090/S0002-9939-07-08835-1
- Published electronically: April 5, 2007
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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.References
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Bibliographic Information
- Akihide Hanaki
- Affiliation: Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan
- Email: hanaki@math.shinshu-u.ac.jp
- Received by editor(s): May 10, 2006
- Published electronically: April 5, 2007
- Communicated by: Jim Haglund
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2683-2687
- MSC (2000): Primary 05E30
- DOI: https://doi.org/10.1090/S0002-9939-07-08835-1
- MathSciNet review: 2317940