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A Beckman-Quarles Type Theorem for Coxeter's Inversive Distance

Published online by Cambridge University Press:  20 November 2018

J. A. Lester
J. A. Lester*
Affiliation:
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick E3B 5A3
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Abstract

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We prove that a bijective transformation on the set of circles in the real inversive plane which preserves pairs of circles a fixed inversive distance ρ > 0 apart must be induced by a Möbius transformation.

Keywords

51B10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 492 - 498
Copyright
Copyright © Canadian Mathematical Society 1991

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