Abstract
Non-linear incidence groups are considered. The classical model of those is the 3-dimensional double elliptic space over the reals ℝ with group ℍ*/ℝ+, derived from the field ℍ of the quaternions. The geometric structure of those incidence groups is that of projective G-fibre spaces [4]. The representation of desarguesian projective incidence groups by nearfields [5] will be extended to those incidence groups.
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Hotje, H. σ — Inzidenzgruppen. J Geom 13, 113–120 (1979). https://doi.org/10.1007/BF01919747
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DOI: https://doi.org/10.1007/BF01919747