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

Brown, C. and Pumpluen, Susanne and Steele, A. (2018) Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Communications in Algebra . ISSN 1532-4125 (In Press)

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Abstract

We study the automorphisms of Jha-Johnson semifields obtained from a right invariant irreducible twisted polynomial f Є K[t;σ], where K = Fqn is a finite field and σ an automorphism of K of order n, with a particular 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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Depositing User: Eprints, Support
Date Deposited: 22 Jan 2018 15:24
Last Modified: 22 Jan 2018 18:42
URI: http://eprints.nottingham.ac.uk/id/eprint/49268

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