Unitals and inversive planes
β Scribed by S. G. Barwick; Christine M. O'Keefe
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 508 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In [3], W. M. Cherowitzo constructed ovals in all finite Figueroa planes of odd order. Here a class of hyperovals is constructed in the finite Figueroa planes of even order. These hyperovals are inherited from regular hyperovals in the associated desarguesian planes. It is also shown that all Figuer
New examples of regular sets of points for the Miquelian inversive planes of order q, q a prime power, q β₯ 7, are found and connections between such planes and certain Minkowski planes of order q 2 are presented.
## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__|ββ₯β2__q__ for __q__ββ₯β9. We prove that if __q__ is sufficiently large, __C__ is a fixed natural number and |__S__β=β2__q__β+β__C__, then roughly 2/3 of the circles of the