A characterisation of classical unitals

Abstract.

A short proof is given for the main result of [1]:¶¶THEOREM 1. A unital in PG(2,q) is classical if and only if it is preserved by a cyclic linear collineation group of order \( q - \sqrt{q} +1 \).

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Received 24 November 2000; revised 15 March 2001.

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Giuzzi, L. A characterisation of classical unitals. J.Geom. 74, 86–89 (2002). https://doi.org/10.1007/PL00012541

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  • Key words: Unitals, Singer cyclic groups, finite projective planes.