A flat Laguerre plane of Kleinewillinghöfer type V ∗
نویسندگان
چکیده
Kleinewillinghöfer types of Laguerre planes reflect transitivity properties of certain groups of central automorphisms. In the case of flat Laguerre planes, Polster and Steinke have shown that some of the conceivable types cannot exist, and they gave models for most of the other types. Only few types are still in doubt. One of them 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. MSC 2000: 51H15, 51B15. 2000 Mathematics subject classification: 51H15, 51B15
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