Let \pi_q be a non desarguesian projective plan of even order q containing a complete q-arc K. Assume that K admits a point P such that there are exactly q-h (h even, 4 \leq h \leq q-6) tangents to K through P. In this paper first we prove that the maximum index of any further point of \pi_q is 2h, then we study the q-arcs such that any point of \pi_q has index 0, 2, 4 or 2h and finally we obtain bounds for the order of \pi_q.

Sui q-archi completi in piani proiettivi di ordine q pari / R. Stangarone. - In: LE MATEMATICHE. - ISSN 0373-3505. - STAMPA. - L, II:(1995), pp. 273-283.

Sui q-archi completi in piani proiettivi di ordine q pari

STANGARONE, ROSA
1995

Abstract

Let \pi_q be a non desarguesian projective plan of even order q containing a complete q-arc K. Assume that K admits a point P such that there are exactly q-h (h even, 4 \leq h \leq q-6) tangents to K through P. In this paper first we prove that the maximum index of any further point of \pi_q is 2h, then we study the q-arcs such that any point of \pi_q has index 0, 2, 4 or 2h and finally we obtain bounds for the order of \pi_q.
1995
L, II
273
283
R. Stangarone
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/401884
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