拉盖尔平面上的对称性公理
The symmetry axioms in Laguerre planes
摘要:
我们介绍了两个公理拉盖尔几何,并证明了它们提供了一个特征的域的特征不同于2的米克尔平面的表征。它们允许描述一个对合自同构,揭示了一些新的光的拉盖尔反演以及对称性相对于一对发电机。
英文摘要:
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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