Geodesic
On cyclotomic schemes over finite near-fields
Journal of Algebraic Combinatorics, Tome 27 (2008) no. 2, pp. 173-185.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We introduce a concept of cyclotomic association scheme over a finite near-field $\mathbb K$ mathbbK . 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 $\mathbb K$ mathbbK . A sufficient condition on a cyclotomic scheme $C$ mathcalC that guarantee the inclusion $Aut( C) \sterling $ A G $L(1,\mathbb F)$, mathrmAut(mathcalC)$\le $mathrmA $\Gamma $mathrmL(1,mathbbF), where $\mathbb F$ mathbbF is a finite field with |$\mathbb K$ | |mathbbK| elements, is given.
Keywords: keywords association scheme, finite near-field, permutation group 
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     title = {On cyclotomic schemes over finite near-fields},
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Bagherian, J.; Ponomarenko, Ilia; Rahnamai Barghi, A. On cyclotomic schemes over finite near-fields. Journal of Algebraic Combinatorics, Tome 27 (2008) no. 2, pp. 173-185. http://geodesic.mathdoc.fr/item/JAC_2008__27_2_a4/