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Line Spreads That Produce Projective Planes

Author

Listed:
  • Hendrik Van Maldeghem

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

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.

Suggested Citation

  • Hendrik Van Maldeghem, 2025. "Line Spreads That Produce Projective Planes," Mathematics, MDPI, vol. 13(2), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:2:p:199-:d:1563565
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