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On Certain Projective Configurations in Space of n Dimensions and a Related Problem in Arrangements

Published online by Cambridge University Press:  20 January 2009

D. M. Y. Sommerville
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In the first part of this paper there are found the numbers of points, lines, etc., in a finite projective geometry of n dimensions. The substance of this has already been worked out by O. Veblen and W. H. Bussey. The second part is concerned with the arrangements of the numbers representing the points in a finite projective plane desarguesian geometry.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 25 , February 1906 , pp. 80 - 90
Copyright
Copyright © Edinburgh Mathematical Society 1906

References

* “Finite projective geometries,” Amer. M. S. Trans., vii. (1906), 241–259.Google Scholar See also Whitehead, , “The axioms of projective geometry,” p. 13.Google Scholar

* See Burnside, , “Theory of Groups,” p. 59.Google Scholar

* See, however, the end of §14.

* “Tactical Memoranda,” Amer. J., xviii. (1896), pp. 264–303.Google Scholar