Abstract.
In this paper, the Moufang-Klingenberg plane over a local alternative ring R of dual numbers is studied. It is shown that its collineation group is transitive on quadrangles. It is therefore shown that the coordinatization of these Moufang-Klingenberg planes is independent of the choice of the coordinatization quadrangle. Also, the concept of 6-figures is extended to these Moufang-Klingenberg planes and it is shown that any 6-figure corresponds to only one inversible m ∈ R.
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Celik, B., Akpinar, A. & Ciftci, S. 4-Transitivity and 6-figures in some Moufang-Klingenberg planes. Mh Math 152, 283–294 (2007). https://doi.org/10.1007/s00605-007-0477-1
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DOI: https://doi.org/10.1007/s00605-007-0477-1