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Quadrics in finite geometries

Published online by Cambridge University Press:  24 October 2008

E. J. F. Primrose
E. J. F. Primrose
Affiliation:
University CollegeLeicester
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Extract

The object of this paper is to obtain some properties of non-degenerate quadric primals in the projective geometry in [s] over a Galois field of order n. It will be shown that, if s is even, there is only one type of quadric, but that, if s is odd, there are two types of quadric. The number of points on a quadric of each type, and the number of quadrics of each type, will be found. Finally, a possible application to statistics will be indicated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 47 , Issue 2 , April 1951 , pp. 299 - 304
Copyright
Copyright © Cambridge Philosophical Society 1951

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References

REFERENCES

(1)Levi, F. W.Finite geometrical systems (Calcutta: University of Calcutta, 1942).Google Scholar
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