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Unitals and inversive planes

✍ 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

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πŸ“œ SIMILAR VOLUMES


Hyperovals and Unitals in Figueroa Plane
✍ M.J. de Resmini; N. Hamilton πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 118 KB

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

Inversive Planes, Minkowski Planes and R
✍ Gloria Rinaldi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 94 KB

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.

On blocking sets of inversive planes
✍ GyΓΆrgy Kiss; Stefano Marcugini; Fernanda Pambianco πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 96 KB

## Abstract Let __S__ be a blocking set in an inversive plane of order __q__. It was shown by Bruen and Rothschild 1 that |__S__| β‰₯ 2__q__ for __q__ β‰₯ 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