Abstract
We complete the classification of transitive hyperovals with groups of order divisible by \(\textit{four}\).
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References
Baer R: Projectivities with fixed points on every line of the plane. Bull. Am. Math. Soc. 52, 273–286 (1946).
Biliotti M., Korchmaros G.: Hyperovals with a transitive collineation group. Geom. Dedicata 24, 269–281 (1987).
Bose R.C.: Mathematical theory of the symmetrical factorial design. Sankhyā 8, 107–166 (1947).
Hulpke A.: Constructing transitive permutation groups. J. Symb. Comput. 39, 1–30 (2005).
Korchmaros G.: Collineation groups transitive on the points of an oval [\((q+2)\)-arc] of \(S_{2, q}\) for \(q\) even. Atti Sem. Mat. Fis. Univ. Modena 27, 89–105 (1978).
Lunelli L., Sce M.: \(q\)-Archi completi dei piani desarguesiani di rango 8 e 16. Centro Calc. Num. Politec. Milano (1958).
Sonnino A.: Transitive hyperovals in finite projective planes. Australas. J. Comb. 33, 335–347 (2005).
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This is one of several papers published in Designs, Codes and Cryptography comprising the “Special Issue on Finite Geometries”.
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Cooper, B.C., Penttila, T. Transitive hyperovals. Des. Codes Cryptogr. 79, 619–623 (2016). https://doi.org/10.1007/s10623-015-0061-y
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DOI: https://doi.org/10.1007/s10623-015-0061-y