Characterizations of Buekenhout-Metz unitals |
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| Authors: | L R A Casse Christine M O'Keefe Tim Penttila |
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| Institution: | (1) Department of Pure Mathematics, The University of Adelaide, 5005 Adelaide, S.A., Australia;(2) Department of Mathematics, The University of Western Australia, 6009 Nedlands, W.A., Australia |
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| Abstract: | We give a characterization of the Buekenhout-Metz unitals in PG(2, q
2), in the cases that q is even or q=3, in terms of the secant lines through a single point of the unital. With the addition of extra conditions, we obtain further characterizations of Buekenhout-Metz unitals in PG(2, q
2), for all q. As an application, we show that the dual of a Buekenhout-Metz unital in PG(2, q
2) is a Buekenhout-Metz unital. |
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| Keywords: | 51E20 |
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