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Net replacements in the Hughes-Kleinfeld semifield planes

✍ Scribed by William E. Cherowitzo; Norman L. Johnson

Publisher
Springer
Year
2010
Tongue
English
Weight
188 KB
Volume
97
Category
Article
ISSN
0047-2468

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πŸ“œ SIMILAR VOLUMES

Unitals in the code of the Hughes plane
Unitals in the code of the Hughes plane
✍ R. D. Baker; K. L. Wantz πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 73 KB

## Abstract A coding‐theoretic characterization of a unital in the Hughes plane is provided, based on and extending the work of Blokhuis, Brouwer, and Wilbrink in __PG__(2,__q__^2^). It is shown that a Frobenius‐invariant unital is contained in the __p__‐code of the Hughes plane if and only if that

Miquelian inversive planes which admit a
Miquelian inversive planes which admit an orthogonality both in the sense of Dembowski and Hughes and of Benz
✍ Yves Mencerrey πŸ“‚ Article πŸ“… 1988 πŸ› Springer 🌐 English βš– 178 KB

The object of this article is to prove a necessary and sufficient condition such that the orthogonality defined by Dembowski and Hughes in the case of characteristic different from 2 (see [4]) satisifes the following axiom: Two orthogonal circles are secant. Β° NOTATIONS. K designates a commutative f