j,k-planes of order 43
نویسندگان
چکیده
منابع مشابه
Inversive Planes of Even Order
1. Results. An inversive plane is an incidence structure of points and circles satisfying the following axioms: I. Three distinct points are connected by exactly one circle. II. If P, Q are two points and c a circle through P but not Q, then there is exactly one circle c' through P and Q such that cC\c'~ [P]. III. There are at least two circles. Every circle has at least three points. For any p...
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A famous but still unsolved problem in finite geometries is the question of whether a finite inversive plane J of odd order n is necessarily miquelian, that is, it arises from the plane sections of an elliptic quadric in PG(3,«). The question has been approached from different angles, and it has a positive answer if suitable conditions are added to J. The most classical result in this context i...
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L. Puccio and M. J. de Resmini [5] showed that subplanes of order 3 exist in the Hughes plane of order 25. (We refer always to the ordinary Hughes planes; equivalently, all our nearfields are regular.) Computations of the second author [2] show that among the known projective planes of order 25 (including 99 planes up to isomorphism/duality), exactly four have subplanes of order 3. These four p...
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ژورنال
عنوان ژورنال: Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial
سال: 2005
ISSN: 1781-6475,1781-6475
DOI: 10.2140/iig.2005.2.1