%0 Journal Article
%T Sui q-archi completi di un piano non desarguesiano di ordine q pari
%A Rosa Stangarone
%A Antonio Terrusi
%J Le Matematiche
%D 1989
%I University of Catania
%X A classic theorem by B. Segre [4], and G. Tallini, [6], states that in a finite desarguesian plane of order q no complete q-arc exists. This result can not be extended to any non desarguesian plane ([1],[2],[3]). In this paper we consider a non desarguesian plane ¦Ðq of even order q greater or equal to 16 and we study complete q-arcs admitting one point of index q-4 in ¦Ðq. As it is well known, [5], the admissible values for the index of the remaining points of ¦Ðq are 0,2,4,6,8. We prove that the non existence of any point of index 8 implies q lesser or equal to 34.
%U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/698