Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings

DOI10.1080/00927872.2018.1448845zbMath1421.12003arXiv1703.02356OpenAlexW2950692572WikidataQ130032106 ScholiaQ130032106MaRDI QIDQ5376017

Andrew Steele, C. Brown, Susanne Pumplün

Publication date: 17 September 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.02356

zbMATH Keywords

automorphism groupautomorphismsskew polynomialscyclic semifieldsJha-Johnson semifields

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Ordinary and skew polynomial rings and semigroup rings (16S36) Semifields (12K10) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35)

Related Items (2)

New semifields and new MRD codes from skew polynomial rings ⋮ Nonassociative cyclic extensions of fields and central simple algebras

Cites Work

• Autotopism groups of cyclic semifield planes
• On the existence of semifields of prime power order admitting free automorphism groups
• On existence of semifields with free automorphism groups
• On a Kaplansky conjecture concerning three-dimensional division algebras over a finite field
• Algebre tridimensionali su un campo di Galois
• On four-dimensional unital division algebras over finite fields
• Finite semifields and projective planes
• Nonassociative quaternion algebras over rings
• Semifields from skew polynomial rings
• On the existence of semifields of order q ⁸ admitting elementary abelian groups of order 8
• Seminuclear Extensions of Galois Fields
• Techniques for Enumerating Veblen-Wedderburn Systems
• On the Automorphism Group of a Semifield of Order 5⁴
• The Automorphism Group of a Semifield of Orderq⁴
• Hilbert 90 Theorems Over Divison Rings
• The automorphisms of Petit’s algebras
• Semifields with free automorphism groups
• Autotopism Groups of Some Finite Non-Associative Algebras
• Finite-Dimensional Division Algebras over Fields
• A Semifield of Order 5⁴Admitting a Free 4-Group of Automorphisms
• On the Subalgebras of Finite Division Algebras
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