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

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

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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
Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 02.04.2018, available online: http://www.tandfonline.com/10.1080/00927872.2018.1448845
Keywords: Automorphisms, automorphism group, cyclic semifields, Jha-Johnson semifields, skew polynomials
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1080/00927872.2018.1448845
Depositing User: Eprints, Support
Date Deposited: 22 Jan 2018 15:24
Last Modified: 10 Apr 2018 15:51
URI: http://eprints.nottingham.ac.uk/id/eprint/49268

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