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

Abstract

We study the automorphisms of Jha-Johnson semifields obtained from an invariant irreducible twisted polynomial $f\in K[t;\sigma ]$, where $K={\mathbb{F}}_{q^n}$ is a finite field and $\sigma$ an automorphism of $K$ of order $n$, with a particualr emphasis on inner automorphisms and the automorphisms of Sandler and Hughes-Kleinfeld semifields. We include the automorphisms of some Knuth semifields (which do not arise from skew polynomial rings). Isomorphism between Jha-Johnson semifields are considered as well.

18 pages

References in corpus (1)

• The automorphisms of Petit's algebras

Cited by in corpus (2)

• New Semifields and new MRD Codes from Skew Polynomial Rings
• Nonassociative cyclic extensions of fields and central simple algebras