Abstract
The paper gives a new proof of the old result of McConnell (Acta Arithm 8:127–151, 1963 [9]) stating that the automorphism group of a cyclotomic scheme over the finite field \(\mathbb F_q\) is a subgroup of \(A\varGamma L_1(q)\).
The author was supported by the Israeli Ministry of Absorption.
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Notes
- 1.
The function \(e_0 = x^0\) is the constant function equal to 1.
References
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Acknowledgements
The author is very thankful to M. Klin and G. Jones for their enormous help with text preparing and for moral support during working on the paper. The author is also grateful to I. Ponomarenko for valuable comments.
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Muzychuk, M.E. (2020). Automorphism Groups of Paley Graphs and Cyclotomic Schemes. In: Jones, G., Ponomarenko, I., Širáň, J. (eds) Isomorphisms, Symmetry and Computations in Algebraic Graph Theory. WAGT 2016. Springer Proceedings in Mathematics & Statistics, vol 305. Springer, Cham. https://doi.org/10.1007/978-3-030-32808-5_6
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