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A group theoretic characterization of Buekenhout-Metz unitals

✍ Scribed by G.L. Ebert; K. Wantz

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
573 KB
Volume
4
Category
Article
ISSN
1063-8539

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πŸ“œ SIMILAR VOLUMES

Designs arising from Buekenhout-Metz uni
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✍ 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.

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The purpose of this article is to discuss some questions about parabolic Buekenhout nnitals, considered as designs. In this article, we define a parabolic Buekenhout unital to be a unital in any two-dimensional translation plane obtained from the cone over any ovoid. In particular, we discuss resolu

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Let G be an abelian p-group, let K be a field of characteristic different from p, and let KG be the group algebra of G over K. In this paper we give a description Ε½ . Ε½. of the unit group U KG of KG when i K is a field of the first kind with respect 1 Ε½ . to p and the first Ulm factor GrG is a direc