A characterization of translation planes and dual translation planes of characteristic \(\neq 2\)
Generalizing a definition of \textit{A. Wagner} [Math. Z. 87, 1--11 (1965; Zbl 0131.36804)] the author calls an affine plane a weak \(W\)-plane if a collineation group \(G\) contains for every affine flag \((Q, \ell)\) an involutory homology fixing this flag. Even with this weaker condition the result of Wagner can be improved: Any finite weak \(W\)-plane is a translation plane or a dual translation plane of characteristic \(\neq 2\).
scientific article; zbMATH DE number 639571