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Primitive Commutative Association Schemes with a Non-symmetric Relation of Valency 3

✍ Scribed by Mitsugu Hirasaka

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 247 KB
Volume: 90
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.3018

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✦ Synopsis

Let (X, [R i ] 0 i d ) be a primitive commutative association scheme. If there is a non-symmetric relation R i with valency 3, then the cardinality of X is equal to either p or p 2 where p is an odd prime. Moreover, if |X | = p then (X, [R i ] 0 i d ) is isomorphic to a cyclotomic scheme.

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