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A synthetic construction of the Figueroa planes

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Abstract

The constructions of the Figueroa planes by Figueroa, Hering-Schaeffer and Dempwolff make essential use of the collineation groups. Here we give a synthetic construction of these planes, which avoids coordinates and groups.

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Dedicated to Professor Hanfried Lenz on the occasion of his 70th birthday

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Grundhöfer, T. A synthetic construction of the Figueroa planes. J Geom 26, 191–201 (1986). https://doi.org/10.1007/BF01227843

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