4-Transitivity and 6-figures in some Moufang-Klingenberg planes |
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Authors: | Basri Celik Atilla Akpinar Suleyman Ciftci |
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Institution: | (1) Uludag University, Gorukle, Turkey |
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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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Keywords: | 2000 Mathematics Subject Classification: 51A35 51A10 |
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