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Harmonic inversions in PG (4, 3) and some related configurations

Published online by Cambridge University Press:  09 April 2009

Nirmal Kumar Basu
Nirmal Kumar Basu
Affiliation:
I. C. V. Polytechnic, Jhargram Sevayatan Midnapore West Bengal, India
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Geometries of one, two and three dimensional spaces over GF(3) have been considered in [2]. A line in a space over GF(3) contains 4 points and every pair of points is harmonic to its complementary pair. This feature makes the transformation of harmonic inversion interesting in a space over GF(3).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 15 , Issue 1 , February 1973 , pp. 54 - 59
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Baker, H. F., Principles of Geometry, Vol. 4 (Cambridge, 1940).Google Scholar
[2]Edge, W. L., ‘Geometry in three dimensions ever GF(3)’ Proc. Roy, Soc., London, Vol. 222A (1954)Google Scholar
[3]Mandan, S. R., ‘Court's Conjecture on n + 2 points in [n]’, Casepis Pre Pěstováni matematiky, roě. 90 (1965), Praha.Google Scholar
[4]Mandan, S. R., ‘Polarity for a Simplex’, ЧexocдoΒaцΚй ΜaΤΗчecΚΗ жypΕaл, T. 16 (1966), 91 Рpara.CrossRefGoogle Scholar