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Characters of association schemes containing a strongly normal closed subset of prime index
Author(s):
Akihide
Hanaki
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2683-2687.
MSC (2000):
Primary 05E30
Posted:
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.
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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
DOI:
10.1090/S0002-9939-07-08835-1
PII:
S 0002-9939(07)08835-1
Keywords:
Association scheme,
strongly normal closed subset,
character,
Clifford theory,
group-graded algebra
Received by editor(s):
May 10, 2006
Posted:
April 5, 2007
Communicated by:
Jim Haglund
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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