A FLAT LAGUERRE PLANE OF KLEINEWILLINGHOFER TYPE V

作者:Schillewaert Jeroen; Steinke Guenter F*
来源:Journal of the Australian Mathematical Society, 2011, 91(2): 257-274.
DOI:10.1017/S1446788711001534

摘要

The Kleinewillinghofer 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.

  • 出版日期2011-10