Abstract
We consider stable planes admitting an abelian group which acts (sharply) transitively on the point set . Known examples are the so-called arc planes with (H. Groh, 1979), affine translation planes and shift planes. We examine the possible actions of on the line space and use the results in order to characterize affine shift planes and translation planes.
Citation
Andreas Wörner. "Stable planes with a point transitive abelian group." Innov. Incidence Geom. 4 53 - 61, 2006. https://doi.org/10.2140/iig.2006.4.53
Information