On arcs in projective planes of order 9. (English) Zbl 0204.53504
References:
| [1] | ANDRE, J.: Projektive Ebenen über Fastkörpern. Math. Z.62, 137-160 (1955). · Zbl 0064.14402 · doi:10.1007/BF01180628 |
| [2] | BARLOTTI, A.: Un’osservazione intorno ad un teorema di B. Segre sui q-archi. Matematiche21, 23-29 (1966). · Zbl 0141.36703 |
| [3] | BUEKENHOUT, F.: Étude intrinsèque des ovales. Rend. Mat. e Appl., V. Ser.25, 333-393 (1966). · Zbl 0155.49101 |
| [4] | DENNISTON, R.H.F.: Subplanes of the Hughes plane of order 9. Proc. Cambridge philos. Soc.64, 589-598 (1968). · Zbl 0164.20801 · doi:10.1017/S0305004100043255 |
| [5] | DENNISTON, R.H.F.: Non-existence of a certain protective plane. J. Austral. math. Soc.10, 214-218 (1969). · Zbl 0175.47701 · doi:10.1017/S1446788700007096 |
| [6] | DENNISTON, R.H.F. (proposer and only solver): Problem 197. Nieuw Arch. Wiskunde, III. Ser.18, 85 (1970). |
| [7] | DENNISTON, R.H.F.: Polarities of the Hughes plane of order 9. Proc. Cambridge philos. Soc. (to appear). · Zbl 0164.20801 |
| [8] | DENNISTON, R.H.F.: On collinear points in finite non-Desarguesian planes. Rend. Mat. e Appl. (to appear). · Zbl 0234.50017 |
| [9] | HUGHES, D.R.: A class of non-Desarguesian projective planes. Canadian J. Math.9, 378-388 (1957). · Zbl 0082.35701 · doi:10.4153/CJM-1957-045-0 |
| [10] | HUGHES, D.R.: Collineation groups of non-Desarguesian planes, I. The Hall Veblen-Wedderburn systems. Amer. J. Math.81, 921-938 (1959). · Zbl 0091.32504 · doi:10.2307/2372996 |
| [11] | LUNELLI, L., ed M. SCE: Sulla ricerca dei k-archi completi mediante una calcolatrice elettronica. Convegno Internazionale Reticoli e Geometrie Proiettive (Roma: Cremonese 1958), 81-86. · Zbl 0097.14901 |
| [12] | MARTIN, G.E.: On arcs in a finite projective plane. Canadian J. Math.19, 376-393 (1967). · Zbl 0149.17601 · doi:10.4153/CJM-1967-030-2 |
| [13] | MENICHETTI, G.: Sopra i k-archi completi nel piano grafico di traslazione di ordine 9. Matematiche21, 150-156 (1966). · Zbl 0141.36704 |
| [14] | NIZETTE, N.: Sur la droite impropre du plan de translation non arguésien d’ordre neuf. Acad. roy. Belgique, Bull. Cl. Sci., V. Sér.52, 701-708 (1966). · Zbl 0178.23501 |
| [15] | NIZETTE, N.: Quelques propriétés des ovales de Rodriguez (sic). Acad. roy. Belgique, Bull. Cl. Sci., V. Sér.52, 709-714 (1966). · Zbl 0178.23502 |
| [16] | RODRIQUEZ, G.: Un esempio di ovale che non è una quasi-conica. Boll. Un. mat. Ital., III Ser.,14, 500-503 (1959). · Zbl 0094.15601 |
| [17] | ROOM, T.G.: Polarities and ovals in the Hughes plane. Proc. Cambridge philos. Soc. (to appear). · Zbl 0231.50014 |
| [18] | SCE, M.: Preliminari ad una teoria aritmetico-gruppale dei k-archi. Rend. Mat. e Appl., V. Ser.19, 241-291 (1960). · Zbl 0104.15002 |
| [19] | SEGRE, B.: Le geometrie di Galois. Ann. Mat. pura appl., IV. Ser.48, 1-96 (1959). · Zbl 0093.33604 · doi:10.1007/BF02410658 |
| [20] | SEGRE, B.: Istituzioni di geometria superiore. Vol. III: Complessi, reti, disegni, Roma: Istituto Matematico ?Guido Castelnuovo? 1965. · Zbl 0163.41903 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
