Sui q-archi completi di un piano non desarguesiano di ordine q pari
A classic theorem by B. Segre , and G. Tallini, , 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 (,,).
In this paper we consider a non desarguesian plane πq of even order q greater or equal to 16 and we study complete q-arcs admitting one point of index q-4 in πq. As it is well known, , the admissible values for the index of the remaining points of πq 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.
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