The symmetry axioms in Laguerre planes
Combinatorics
2007-05-23 v1 Metric Geometry
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.
Keywords
Cite
@article{arxiv.math/0601321,
title = {The symmetry axioms in Laguerre planes},
author = {Jaroslaw Kosiorek and Andrzej Matras},
journal= {arXiv preprint arXiv:math/0601321},
year = {2007}
}
Comments
9 p., 7 fig