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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
482-Article Text-1857-1-10-20100226.pdf
Accesso chiuso
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
339.92 kB
Formato
Adobe PDF
|
339.92 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.