Line Spreads That Produce Projective Planes

Hendrik Van Maldeghem ()
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Hendrik Van Maldeghem: Department of Mathematics, Computer Science and Statistics, Ghent University, Krijgslaan 281-S9, B-9000 Ghent, Belgium

Mathematics, 2025, vol. 13, issue 2, 1-12

Abstract: We explicitly classify those line spreads of projective 5-space over a field that have the property that the given spread induces a spread in the 3-space generated by any pair of spread lines. We determine their fix groups and conclude that there exist such spreads with a trivial fix group. Also, we characterise regular line spreads among all line spreads of projective 3-space by their projectivity group and also by a weakening of the regularity condition.

Keywords: line spread; projectivity group; regular spread (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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