On Subplanes of Miquelian Inversive Planes
✍ Scribed by Cornelia Rößing
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 372 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__| ≥ 2__q__ for __q__ ≥ 9. We prove that if __q__ is sufficiently large, __C__ is a fixed natural number and |__S__ = 2__q__ + __C__, then roughly 2/3 of the circles of the
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. ° NOTATIONS. K designates a commutative f