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On cyclotomic schemes over finite near-fields

J. Bagherian·Ilia Ponomarenko·A. Rahnamai Barghi
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Abstract

We introduce a concept of cyclotomic association scheme C over a finite near-field. It is proved that if C is nontrivial, then Aut(C)<AGL(V) where V is the linear space associated with the near-field. In many cases we are able to get more specific information about Aut(C).

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J. Bagherian, Ilia Ponomarenko, A. Rahnamai Barghi. 2006-11-16. On cyclotomic schemes over finite near-fields. https://arxiv.org/abs/math/0611495

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