Abstract
One of the two Buekenhout-Shult theorems for polar spaces required a finite rank assumption. Here we get rid of that restriction. Similarly, the polar spaces of possibly infinite rank having some line of two points are classified.
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Buekenhout, F. and Shult, E., ‘On the foundations of polar geometry’, Geom. Dedicata 3 (1974), 155–170.
Buekenhout, F. and Sprague, A., ‘Polar spaces having some line of cardinality two’, J. Comb. Theory 33 (1982), 223–228.
Buekenhout, F. and Cohen, A., Diagram Geometries (in preparation).
Percsy, N., ‘Zara graphs and locally polar geometries’ (to appear).
Teirlinck, L., ‘On projective and affine hyperplanes’, J. Comb. Theory (A). 28 (1980), 290–306.
Tits, J., ‘Buildings of spherical type and finite BN-pairs’, Lecture Notes in Math. 386, Springer-Verlag, Berlin, 1974.
Veldkamp, F. D., ‘Polar geometry, I–V’, Proc. Kon. Ned. Akad. Wet. A62 (1959), 512–551, A63, 207–212.
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Buekenhout, F. On the foundations of polar geometry, II. Geom Dedicata 33, 21–26 (1990). https://doi.org/10.1007/BF00147597
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DOI: https://doi.org/10.1007/BF00147597