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Ordered Symmetric Minkowski Planes I

✍ Scribed by Helmut Karzel; Jaroslaw Kosiorek; Andrzej Matraś


Publisher
Springer
Year
2009
Tongue
English
Weight
515 KB
Volume
93
Category
Article
ISSN
0047-2468

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A connection between Fano configurations
✍ Jan Jakóbowski 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 238 KB

It is shown in this paper that a pair of points contained in a Fano configuration in a projective plane of odd order cannot induce a Minkowski plane. From this result we derive that no pair of points in the Hughes plane of order 9 can induce a Minkowski plane.

I-Transitive Ovals in Projective Planes
✍ Maria Rosaria Enea; Gábor Korchmáros 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 202 KB

Let be a projective plane of odd order n containing an oval ⍀. We give a classification of collineation groups of which fix ⍀ and act transitively on the set I I of all internal points of ⍀.