Lenz-Barlotti classes of semi-classical ordered projective planes
Degree GrantorUniversity of Canterbury
Degree NameResearch report
This paper concerns a generalization of Moulton planes. We consider these semi-classical projective planes over half-ordered fields and completely determine their Lenz-Barlotti classes in the case of finite planes and of ordered planes. We also obtain a characterization of the Desarguesian planes among the semi-classical planes in terms of linear transitivity. These results are applied to (topological) 2-dimensional semi-classical projective planes.
SubjectsField of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010102 - Algebraic and Differential Geometry
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