Abstract
Axioms are presented for a Barbilian geometry of dimension n≥2 over a ring for which ab=1 implies ba=1. It is shown that any Faulkner geometry of dimension n≥3 is coordinatized by a unique associative two-sided units ring R and that the group generated by all transvections is a group of Steinberg type over R.
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Magnus, T.D. Faulkner geometry. Geom Dedicata 59, 1–28 (1996). https://doi.org/10.1007/BF00181523
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DOI: https://doi.org/10.1007/BF00181523