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The symmetry axioms in Laguerre planes

Jaroslaw Kosiorek·Andrzej Matras
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Abstract

We introduce two axioms in Laguerre geometry and prove that they provide a characterization of miquelian planes over fields of the characteristic different from 2. They allow to describe an involutory automorphism that sheds some new light on a Laguerre inversion as well as on a symmetry with respect to a pair of generators.

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Jaroslaw Kosiorek, Andrzej Matras. 2006-01-13. The symmetry axioms in Laguerre planes. https://arxiv.org/abs/math/0601321

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