On the isotopism classes of finite semifields

DOI10.1016/J.FFA.2008.05.002zbMath1167.51005OpenAlexW2005636311MaRDI QIDQ958603

Michel Lavrauw

Publication date: 5 December 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2008.05.002

zbMATH Keywords

projective planesspreadsSegre varietyfinite semifieldsdeterminantal hypersurface

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Combinatorial structures in finite projective spaces (51E20) Semifields (12K10)

Related Items (10)

The BEL-rank of finite semifields ⋮ Projective planes of Lenz-Barlotti class V. ⋮ Segre embeddings and finite semifields ⋮ Finite semifields and nonsingular tensors ⋮ Symplectic 4-dimensional semifields of order \(8^4\) and \(9^4\) ⋮ Maximum scattered linear sets of pseudoregulus type and the Segre variety \(\mathcal{S}_{n,n}\) ⋮ On embeddings of minimum dimension of \(\mathrm{PG}(n,q)\times \mathrm{PG}(n,q)\) ⋮ Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface ⋮ Finite semifields with a large nucleus and higher secant varieties to Segre varieties ⋮ On BEL-configurations and finite semifields

Cites Work

• Infinite families of new semifields
• A geometric construction of finite semifields
• On a generalization of cyclic semifields
• On semi-fields of type \((q^{2n},q^n,q^2,q)\), \(n\) odd
• \(n\)-dimensional algebras over a field with a cyclic extension of degree \(n\)
• Finite semifields and projective planes
• Semifield planes of order \(q^4\) with kernel \(\mathbb F_{q^2}\) and center \(\mathbb F_q\)
• Über nicht-Desarguessche Ebenen mit transitiver Translationsgruppe
• HMO-planes
• Projective Planes
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