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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Characters of association schemes containing a strongly normal closed subset of prime index
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by Akihide Hanaki PDF
Proc. Amer. Math. Soc. 135 (2007), 2683-2687 Request permission

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.
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Additional 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