The symmetry axioms in Laguerre planes

Details The symmetry axioms in Laguerre planes The symmetry axioms in Laguerre planes

2006-01-13

arxiv.org/abs/math/0601321v1

Mathematics

Combinatorics

9 p., 7 fig

Scientific paper

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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