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Concerning a characterisation of Buekenhout-Metz unitals

✍ 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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πŸ“œ SIMILAR VOLUMES


Characterizations of Buekenhout-Metz uni
✍ L. R. A. Casse; Christine M. O'Keefe; Tim Penttila πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 867 KB

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

Designs arising from Buekenhout-Metz uni
✍ A. Aguglia πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 113 KB

## Abstract An affine 2–(__q__^3^,__q__^2^, __q__ + 1) design is constructed from a Buekenhout‐Metz unital of the affine plane AG(2,__q__^2^), with __q__ > 2. It is also shown that such a design is isomorphic to the point‐plane design of the affine space AG(3,__q__). Β© 2003 Wiley Periodicals, Inc.