par Schillewaert, Jeroen 
;Steinke, Günter G.F.
Référence Australian Mathematical Society. Journal, 91, 2, page (257-274)
Publication Publié, 2011-10
;Steinke, Günter G.F.Référence Australian Mathematical Society. Journal, 91, 2, page (257-274)
Publication Publié, 2011-10
Article révisé par les pairs
| Résumé : | The Kleinewillinghöfer types of Laguerre planes reflect the transitivity properties of certain groups of central automorphisms. Polster and Steinke have shown that some of the conceivable types for flat Laguerre planes cannot exist and given models for most of the other types. The existence of only a few types is still in doubt. One of these is type V.A.1, whose existence we prove here. In order to construct our model, we make systematic use of the restrictions imposed by the group. We conjecture that our example belongs to a one-parameter family of planes all of type V.A.1. © Copyright Australian Mathematical Publishing Association Inc. 2011. |
