On cyclotomic schemes over finite near-fields

Abstract

We introduce a concept of cyclotomic association scheme over a finite near-field 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 K. A sufficient condition on a cyclotomic scheme C that guarantee the inclusion Aut(C)≤ ≤{A} Γ L(1,F), where F is a finite field with |K| elements, is given. © 2007 Springer Science+Business Media, LLC.