Translation planes of odd order via Dembowski-Ostrom polynomials

zbMath1261.51005MaRDI QIDQ690711

Peter Müller, Ulrich Dempwolff

Publication date: 28 November 2012

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1350306596

zbMATH Keywords

translation planeDembowski-Ostrom polynomialnearly flag-transitivetranslation complement

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial structures in finite projective spaces (51E20) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (1)

More translation planes and semifields from Dembowski-Ostrom polynomials

Cites Work

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• A family of translation planes of order \(q^ 3\)
• Transitive linear groups and linear groups which contain irreducible subgroups of prime order
• New flag-transitive affine planes of even order
• On quasifields
• A generalization of André's systems
• Planes of order \(n\) with collineation groups of order \(n^ 2\)
• Nearly flag-transitive affine planes
• The Affine Permutation Groups of Rank Three
• Symplectic semifield planes and ℤ₄–linear codes
• Endliche Gruppen I

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