A Solution of a Problem of A. E. Brouwer |
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| Authors: | Mikhail Muzychuk István Kovács |
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| Institution: | (1) Department of Computer Science and Mathematics, Netanya University College, 16 Kibutz Galuyot St., 42365, Israel;(2) Institute of Mathematics and Informatics, Pécs University, Ifúság u. 6, 7624 Pécs, Hungary |
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| Abstract: | Let q=pe  1(mod 4) be a prime power, and let  (q) be the Paley graph over the finite field
. Denote by  (q) the subgraph of (q) induced on the set of non-zero squares of
. In this paper the full automorphism group of (q) is determined affirming the conjecture of Brouwer Des. Codes Cryptograph. 21, 69–76 (2000)]. The proof combines spectral and Schur ring techniques. |
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