On the multiplicative structure of finite division rings

DOI10.1007/BF02227457zbMath0747.17001MaRDI QIDQ1175449

G. P. Wene

Publication date: 25 June 1992

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137409

zbMATH Keywords

semifieldfinite division ringright primitive element

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Semifields (12K10) Nonassociative division algebras (17A35)

Related Items (17)

Primitive and Non Primitive Finite Semifields ⋮ COORDINATE SETS OF GENERALIZED GALOIS RINGS ⋮ Problems on structure of finite quasifields and projective translation planes ⋮ Unnamed Item ⋮ PRIMITIVITY OF FINITE SEMIFIELDS WITH 64 AND 81 ELEMENTS ⋮ On primitive elements in finite semifields ⋮ Commutative Semifields of Order 3⁵ ⋮ New advances in the computational exploration of semifields ⋮ Cyclic Generalized Galois Rings ⋮ Primitive semifields of order \(2^{4e}\) ⋮ Determination of division algebras with 243 elements ⋮ Albert's Construction for Semifields of Even Order ⋮ On the primitivity of four-dimensional finite semifields ⋮ Classification of semifields of order 64 ⋮ Finite Rings with Applications ⋮ Minimal Polynomials in Finite Semifields ⋮ Minimal Proper Quasifields with Additional Conditions

Cites Work

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• On finite division algebras
• Three-dimensional division algebras
• On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field
• Finite semifields and projective planes
• Generalized twisted fields
• Techniques for Enumerating Veblen-Wedderburn Systems
• On Finite Division Rings
• A Class of Projective Planes
• On Nonassociative Division Algebras

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