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Finite Minkowski planes and embedded inversive planes

✍ Scribed by Gloria Rinaldi

Publisher
Springer
Year
2001
Tongue
English
Weight
44 KB
Volume
70
Category
Article
ISSN
0047-2468

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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.

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## 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