Bartolone, Claudio; Bartolozzi, Federico Sopra una classe di piani (R,r)-transitivi. (Italian) Zbl 0445.51007 Rend. Sem. Mat. Univ. Padova 61, 13-31 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 51A35 Non-Desarguesian affine and projective planes 20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures 51E15 Finite affine and projective planes (geometric aspects) Keywords:Hughes plane; Ostrom-Rosati plane; Hall plane PDFBibTeX XMLCite \textit{C. Bartolone} and \textit{F. Bartolozzi}, Rend. Semin. Mat. Univ. Padova 61, 13--31 (1979; Zbl 0445.51007) Full Text: Numdam EuDML References: [1] F. Bartolozzi , Sopra una classe di piani finiti (R, r)-transitivi, Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis ., mat. e nat. , VIII , 39 ( 1965 ), pp. 245 - 248 . MR 200785 | Zbl 0136.41904 · Zbl 0136.41904 [2] D.R. Hughes , Collineation groups of non-desarguesian planes, I , Amer. J. Math. , 81 ( 1959 ), pp. 921 - 938 . MR 110047 | Zbl 0091.32504 · Zbl 0091.32504 · doi:10.2307/2372996 [3] T.V.S. Jagannathan , Ordered projective planes , J. Ind. Math. Soc. , 36 ( 1972 ), pp. 65 - 78 . MR 319041 | Zbl 0281.50009 · Zbl 0281.50009 [4] H. Lenz , Kleiner Desarguesscher Satz und Dualitcit in projektiven Ebenen, Jber . Deutsche Math. Ver. , 57 ( 1954 ), pp. 20 - 31 . Article | MR 61844 | Zbl 0055.13801 · Zbl 0055.13801 [5] T.G. Ostrom , Finite planes with a single (p, L)-transitivity , Arch. Math. , 15 ( 1964 ), pp. 378 - 384 . MR 175026 | Zbl 0129.12502 · Zbl 0129.12502 · doi:10.1007/BF01589216 [6] G. Panella , Le collineazioni nei piani di Marshall Hall , Riv. Mat. Univ. Parma , ( 2 ), 1 ( 1960 ), pp. 171 - 184 . MR 132452 | Zbl 0095.15101 · Zbl 0095.15101 [7] G. Panella , Osservazioni sulla costruzione dei piani di Hughes , Rend. Mat. e App. , 23 ( 1964 ), pp. 331 - 350 . MR 200784 | Zbl 0136.42001 · Zbl 0136.42001 [8] G. Panella , Una classe di sistemi cartesiani, Atti Accad. Naz. Lincei , Rend. Cl. Sci. fis. mat. e nat. , VIII , 38 ( 1965 ), pp. 480 - 485 . MR 211318 | Zbl 0141.36802 · Zbl 0141.36802 [9] G. Pickert , Projektive Ebenen , Springer , Berlin - Heidelberg - New York ( 1975 ). MR 370350 | Zbl 0307.50001 · Zbl 0307.50001 [10] G. Pickert , Die cartesischen Gruppen der Ostrom-Rosati-Ebenen , Abh. Math. Sem. Univ. Hamburg , 30 ( 1967 ), pp. 106 - 117 . MR 213958 | Zbl 0166.16101 · Zbl 0166.16101 · doi:10.1007/BF02993994 [11] L.A. Rosati , Su una nuova classe di piani grafici , Ricerche Mat. , 13 ( 1964 ), pp. 39 - 55 . MR 170263 | Zbl 0124.12805 · Zbl 0124.12805 [12] B. Segre , Lectures on Modern Geometry (con appendice di L. Lombardo-Radice) , Cremonese , Roma ( 1961 ). MR 131192 | Zbl 0095.14802 · Zbl 0095.14802 [13] H. Zassenhaus , Über endliche Fastkörper , Abh. Math. Sem. Univ. Hamburg , 11 ( 1935 ), pp. 187 - 220 . JFM 61.0126.01 · JFM 61.0126.01 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.