On cyclotomic schemes over finite near-fields

摘要

We introduce a concept of cyclotomic association scheme over a finite near-field $mathbb{K}$ . It is proved that any isomorphism of two such nontrivial schemes is induced by a suitable element of the group AGL(V), where V is the linear space associated with $mathbb{K}$ . A sufficient condition on a cyclotomic scheme $mathcal{C}$ that guarantee the inclusion $mathrm{Aut}(mathcal{C})le mathrm{A} Gamma mathrm{L}(1,mathbb{F}),$ where $mathbb{F}$ is a finite field with $|mathbb{K}|$ elements, is given.