Unitals which meet Baer subplanes in 1 moduloq points |
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| Authors: | S G Barwick Christine M O'Keefe L Storme |
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| Institution: | (1) Department of Pure Mathematics, The University of Adelaide, 5005, Australia;(2) Department of Pure Mathematics and Computer Algebra, University of Gent, Galglaan 2, B-9000 Gent, Belgium |
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| Abstract: | We prove that a parabolic unitalU in a translation plane  of orderq
2 with kernel containing GF(q) is a Buekenhout-Metz unital if and only if certain Baer subplanes containing the translation line of meetU in 1 moduloq points. As a corollary we show that a unital 16-03 in PG(2,q
2) is classical if and only if it meets each Baer subplane of PG(2,q
2) in 1 moduloq points. |
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