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The double-six of lines over PG (3, 4)

Published online by Cambridge University Press:  09 April 2009

James W. P. Hirschfeld
James W. P. Hirschfeld
Affiliation:
University of Sydney.
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The object of this paper is to consider the existence of the double-six over GF(2n) and particularly over GF(4).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1964 , pp. 83 - 89
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Baker, H. F., Principled of Geometry, Vol. III, (Cambridge, 1923).Google Scholar
[2]Burnside, W.. On the double-six which admits a group of 120 collineations into irself, Proc. Camb. Phil. Soc. 16 (1911), p. 418.Google Scholar
[3]Edge, W. L., Quadrics over GF (2) and their relevance for the cubic surface group, Canadian J. Maths, 11 (1959), p. 625.CrossRefGoogle Scholar
[4]Frame, J. S., A symmetric representation of the 27 lines on a cublic surface by lines of a finite geometry, Bull. Amer. Math. Soc., 44 (1938), p. 635.Google Scholar
[5]Room, T. G., The Schur quadrics of a cubic surface, J. London Math. Soc., 7 (1932), p. 147.Google Scholar
[6]Segra, B., The non-singular cubic surfaces (Oxford, 1942).Google Scholar
[7]Todd, J. A., Projective and Analytical Geometry (Pitman, London, 1958).Google Scholar