Abstract
Certain permutation groups on sets with distance relation are characterized as groups of projectivities PGL2(R) on the projective line over a commutative ring R of stable rank 2, thus generalizing a classical result of Tits where R is a field.
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Herzer, A. Der Satz von Tits für PGL2(R), R ein kommutativer Ring vom stabilen Rang 2. Geom Dedicata 62, 167–178 (1996). https://doi.org/10.1007/BF00147809
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DOI: https://doi.org/10.1007/BF00147809