Translations in affine Klingenberg spaces
The authors prove the Little Theorem of Desargues in affine Klingenberg spaces \(A\) of dimension at least 3. This allows to construct many translations. In fact, by Theorems 5.10 and 5.11 the translations of \(A\) form an abelian group which is sharply transitive on points. Moreover, it is shown that several different definitions of translations are equivalent if any two points lie on at least one line.
scientific article; zbMATH DE number 5963293
scientific article