Concerning a characterisation of Buekenhout-Metz unitals
β Scribed by Catherine T. Quinn; Rey Casse
- Book ID
- 112535275
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 396 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0047-2468
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π SIMILAR VOLUMES
We give a characterization of the Buekenhout-Metz unitals in PG(2, q2), 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, q2), for all
## Abstract An affine 2β(__q__^3^,__q__^2^, __q__β+β1) design is constructed from a BuekenhoutβMetz unital of the affine plane AG(2,__q__^2^), with __q__β>β2. It is also shown that such a design is isomorphic to the pointβplane design of the affine space AG(3,__q__). Β© 2003 Wiley Periodicals, Inc.