Abstract
The concept of a regulus in three dimensional projective space is generalized to a “hyper-regulus” in projective space of dimension 2d−1. The most obvious examples come from the André planes. We find other examples related to generalized André translation planes and consider possibilities for extending partial hyper-reguli to hyper-reguli.
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Dedicated to Professor Adriano Barlotti on his 70th birthday.
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Ostrom, T.G. Hyper-reguli. J Geom 48, 157–166 (1993). https://doi.org/10.1007/BF01226806
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DOI: https://doi.org/10.1007/BF01226806