Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Uniqueness of the projective plane of order eight


Authors: Marshall Hall, J. Dean Swift and Robert J. Walker
Journal: Math. Comp. 10 (1956), 186-194
MSC: Primary 50.0X
DOI: https://doi.org/10.1090/S0025-5718-1956-0084142-0
MathSciNet review: 0084142
Full-text PDF Free Access

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • [1] R. H. Bruck & H. J. Ryser, ``The nonexistence of certain finite projective planes,'' Canadian Jn. Math., v. 1, 1949, p. 88-93. MR 0027520 (10:319b)
  • [2] Marshall Hall, Jr., ``Uniqueness of the projective plane with 57 points,'' Am. Math. Soc., Proc., v. 4, 1953, p. 912-916; Correction to ``Uniqueness of the projective plane with 57 points,'' Am. Math. Soc., Proc., v. 5, 1954, p. 994-997. MR 0065179 (16:395b)
  • [3] D. R. Hughes, ``Additive and multiplicative loops of the planar ternary rings,'' Am. Math. Soc, Proc., v. 6, 1955, p. 973-980. MR 0073568 (17:451d)
  • [4] H. W. Norton, ``The $ 7 \times 7$ squares,'' Ann. Eugenics, v. 9, 1939, p. 269-307. MR 0001220 (1:199a)
  • [5] W. A. Pierce, ``The impossibility of Fano's configuration in a projective plane with eight points per line,'' Am. Math. Soc., Proc., v. 4, 1953, p. 908-912. MR 0058985 (15:460h)
  • [6] A. Sade, ``An omission in Norton's list of $ 7 \times 7$ squares,'' Annals Math. Statistics, v. 22, 1951, p. 306-307. MR 0040254 (12:665a)
  • [7] G. Tarry, ``Le problème des 36 officiers,'' Compte Rendu de l'Association Française pour l'Avancement de Science Naturel,'' v. 1, 1900, p. 122-123; v. 2, 1901, p. 170-203.
  • [8] O. Veblen & W. H. Bussey, ``Finite projective geometries,'' Am. Math. Soc., Trans., v. 7, 1906, p. 241-259. MR 1500747
  • [9] O. Veblen & J. H. Maclagan-Wedderburn, ``Non-Desarguesian and non-Pascalian geometries,'' Am. Math. Soc., Trans., v. 8, 1907, p. 379-388. MR 1500792

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 50.0X

Retrieve articles in all journals with MSC: 50.0X


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1956-0084142-0
Article copyright: © Copyright 1956 American Mathematical Society

American Mathematical Society