On a new class of Moufang–Klingenberg planes

DOI10.1142/S1793557121501163zbMath1477.51001OpenAlexW3046276365MaRDI QIDQ5164640

İsa Doğan, Atilla Akpinar

Publication date: 12 November 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121501163

zbMATH Keywords

4-transitivityMoufang-Klingenberg planelocal alternative ring6-figure

Mathematics Subject Classification ID

Non-Desarguesian affine and projective planes (51A35) Alternative rings (17D05) Homomorphism, automorphism and dualities in linear incidence geometry (51A10) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Cites Work

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• Coordinatization of Moufang Veldkamp planes
• Barbilian planes
• Projective planes over rings of stable rank 2
• Projectivities in Moufang-Klingenberg planes
• Cross-ratios in Moufang--Klingenberg planes
• On Desarguesian projective planes
• Projective remoteness planes
• Cross-ratios over local alternative rings
• Veronese representation of projective Hjelmslev planes over some quadratic alternative algebras
• 4-transitivity and 6-figures in some Moufang-Klingenberg planes
• Cross-ratios and 6-figures in some Moufang-Klingenberg planes
• On Hjelmslev-Moufang planes
• SOME PROPERTIES OF 6-FIGURES AND CROSS-RATIOS IN SOME MOUFANG–KLINGENBERG PLANES
• Octonion Planes Over Local Rings
• On projective coordinate spaces
• Octonion planes defined by quadratic Jordan algebras

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