Exhaustive construction of four-dimensional unital division algebras over finite fields with Kleinian automorphism group

DOI10.1007/s13366-018-0407-5zbMath1472.17012OpenAlexW2808789606WikidataQ129653915 ScholiaQ129653915MaRDI QIDQ1728772

Mashhour Al-Ali Bani-Ata

Publication date: 26 February 2019

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-018-0407-5

zbMATH Keywords

homogeneous polynomialsdivision algebraChevalley-Warning theorem

Mathematics Subject Classification ID

Composition algebras (17A75) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35) Quadratic algebras (but not quadratic Jordan algebras) (17A45)

Cites Work

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• On semifields of order q4 with center \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} \(\mathbb{F}_q\) \end{document}, admitting a Klein 4-group of automorphisms
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