On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field
From MaRDI portal
Publication:1239788
DOI10.1016/0021-8693(77)90231-9zbMath0362.17002OpenAlexW2042619813WikidataQ123310171 ScholiaQ123310171MaRDI QIDQ1239788
Publication date: 1977
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(77)90231-9
Related Items (39)
Primitive and Non Primitive Finite Semifields ⋮ Pairs of quadratic forms over finite fields ⋮ On finite division algebras ⋮ ON ISOTOPISMS OF COMMUTATIVE PRESEMIFIELDS AND CCZ-EQUIVALENCE OF FUNCTIONS ⋮ Towards a characterization of generalized twisted field planes ⋮ Switchings of semifield multiplications ⋮ Finite semifields: A brief history and current directions ⋮ A new family of linear maximum rank distance codes ⋮ On translation planes of order \(q^ 3\) that admit a collineation group of order \(q^ 3\) ⋮ Finite flag-transitive affine planes with a solvable automorphism group ⋮ Further study of planar functions in characteristic two ⋮ Problems on structure of finite quasifields and projective translation planes ⋮ The BEL-rank of finite semifields ⋮ On symplectic semifield spreads of \(\mathrm{PG}(5,q^2)\), \(q\) even ⋮ On kernels and nuclei of rank metric codes ⋮ Nuclei and automorphism groups of generalized twisted Gabidulin codes ⋮ Rank-Metric Codes, Semifields, and the Average Critical Problem ⋮ Towards the classification of rank 2 semifields 6-dimensional over their center ⋮ Almost perfect and planar functions ⋮ Finite semifields and nonsingular tensors ⋮ Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings ⋮ On the multiplicative structure of finite division rings ⋮ Classification of 8-dimensional rank two commutative semifields ⋮ Commutative presemifields and semifields ⋮ New advances in the computational exploration of semifields ⋮ On symplectic semifield spreads of \(\mathrm{PG}(5,q^{2})\), \(q\) odd ⋮ Determination of division algebras with 243 elements ⋮ Classification of semifields of order 64 ⋮ Dembowski-Ostrom polynomials from Dickson polynomials ⋮ On the classification of 3-dimensional non-associative division algebras over \(p\)-adic fields ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Uniqueness of \(\mathbb{F}_q\)-quadratic perfect nonlinear maps from \(\mathbb{F}_{q^3}\) to \(\mathbb{F}_q^2\) ⋮ Symplectic semifield spreads of PG(5, q^t), q even ⋮ A family of planar binomials in characteristic 2 ⋮ On the sparseness of certain linear MRD codes ⋮ Explicit classes of permutation polynomials of \(\mathbb F_{3^{3m}}\) ⋮ Binary additive MRD codes with minimum distance \(n-1\) must contain a semifield spread set ⋮ A historical perspective of the theory of isotopisms ⋮ An exponential bound on the number of non-isotopic commutative semifields
Cites Work
This page was built for publication: On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field
