The impossibility of Fano's configuration in a projective plane with eight points per line

Author:
William A. Pierce

Journal:
Proc. Amer. Math. Soc. **4** (1953), 908-912

MSC:
Primary 48.0X

DOI:
https://doi.org/10.1090/S0002-9939-1953-0058985-2

MathSciNet review:
0058985

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References | Similar Articles | Additional Information

**[1]**R. C. Bose,*On the application of the properties of Galois fields to the problem of construction of hyper-Graeco-Latin squares*, Sankhyā, The Indian Journal of Mathematics vol. 3 (1938) pp. 328-338.**[2]**W. L. Stevens,*The completely orthogonalised Latin squares*, Annals of Eugenics vol. 9 (1939) pp. 82-93.**[3]**H. W. Norton,*The 7 x 7 squares*, Ann. Eugenics**9**(1939), 269–307. MR**0001220****[4]**R. C. Bose and K. R. Nair,*On complete sets of Latin squares*, Sankhyā**5**(1941), 361–382. MR**0006733****[5]**T. P. Kirkman,*Schoolgirl problem*, The Lady's and Gentleman's Diary (1950).**[6]**F. N. Cole,*Kirkman parades*, Bull. Amer. Math. Soc.**28**(1922), no. 9, 435–437. MR**1560613**, https://doi.org/10.1090/S0002-9904-1922-03599-9**[7]**Albert Sade,*An omission in Norton’s list of 7×7 squares*, Ann. Math. Statistics**22**(1951), 306–307. MR**0040254**

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DOI:
https://doi.org/10.1090/S0002-9939-1953-0058985-2

Article copyright:
© Copyright 1953
American Mathematical Society