Abstract
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.
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I. Ponomarenko partially supported by RFFI, grants 03-01-00349, NSH-2251.2003.1.
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Bagherian, J., Ponomarenko, I. & Rahnamai Barghi, A. On cyclotomic schemes over finite near-fields. J Algebr Comb 27, 173–185 (2008). https://doi.org/10.1007/s10801-007-0081-4
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DOI: https://doi.org/10.1007/s10801-007-0081-4