Four-dimensional compact projective planes admitting an affine Hughes group

DOI10.1007/BF03322013zbMath0977.51005OpenAlexW2066728010MaRDI QIDQ1840588

Norbert Knarr, Hauke Klein, Rainer Löwen

Publication date: 21 January 2002

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322013

zbMATH Keywords

compact projective planenon-solvable automorphism groupHughes grouptransversal function

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Implicit function theorems, Jacobians, transformations with several variables (26B10) Non-Desarguesian affine and projective planes (51A35) Topological linear incidence structures (51H10)

Related Items (1)

A local characterization of smooth projective planes

Cites Work

• Unnamed Item
• Four-dimensional compact projective planes with a solvable collineation group
• Compact projective planes. With an introduction to octonion geometry
• Derivable affine planes and translation planes
• Derivable nets and 3-dimensional projective spaces. II: The structure
• 4-dimensionale Translationsebenen mit 7-dimensionaler Kollineationsgruppe.
• Affine Hughes groups acting on 4-dimensional compact projective planes

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