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Sopra una classe di piani (R,r)-transitivi. (Italian) Zbl 0445.51007

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)
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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
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[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
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