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Isomorphism Invariants for Projective Configurations

Published online by Cambridge University Press:  20 November 2018

G. C. Shephard
G. C. Shephard*
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, U.K. email: [email protected]
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Abstract

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An isomorphism invariant is an expression, defined for a configuration in the projective plane, which takes the same value for all isomorphic configurations. Examples are given as well as a general method (Nehring sequences) for constructing such invariants.

Keywords

51N15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 6 , 01 December 1999 , pp. 1277 - 1299
Copyright
Copyright © Canadian Mathematical Society 1999

References

[1] Chou, S.-C., Mechanical Geometry Theorem Proving. D. Reidel Publishing Company, Dordrecht-Boston-Lancaster-Tokyo, 1988.Google Scholar
[2] Coxeter, H. S. M., Introduction to Geometry. 2nd edition, John Wiley and Sons, New York-London-Sydney-Hong Kong, 1969.Google Scholar
[3] Coxeter, H. S. M., The Real Projective Plane. 2nd edition, Cambridge University Press, 1955.Google Scholar
[4] Coxeter, H. S. M., Projective Geometry. 2nd edition, University of Toronto Press, 1974.Google Scholar
[5] Coxeter, H. S. M. and Greitzer, S. L., Geometry Revisited. Mathematical Association of America, 1967.Google Scholar
[6] Eves, Howard W., A Survey of Geometry. Allyn and Bacon Inc., Boston, 1972.Google Scholar
[7] Nehring, O., Aufgabe 278 und Lösung. Jahresber. Deutsch. Math.-Verein 49(1939), 29; 50(1940), 80–83.Google Scholar
[8] Nehring, O., Zyklische Projectionen in Dreieck. J. Reine Angew. Math. 184(1942), 129–137.Google Scholar
[9] Reyes, W., On a theorem in circle geometry. Nieuw Arch. Wisk. 14(1996), 231–233.Google Scholar
[10] Shephard, G. C., The Nehring-Reyes’ theorems for polygons. Nieuw Arch. Wisk. 16(1998), 37–56.Google Scholar