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

Brown, C.; Pumpluen, Susanne; Steele, Andrew

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.

Citation

Brown, C., Pumpluen, S., & Steele, A. (2018). Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Communications in Algebra, 46(10), 4561-4576. https://doi.org/10.1080/00927872.2018.1448845

• Journal Article Type: Article
• Acceptance Date: Jan 22, 2018
• Online Publication Date: Apr 2, 2018
• Publication Date: Apr 2, 2018
• Deposit Date: Jan 22, 2018
• Publicly Available Date: Apr 3, 2019
• Journal: Communications in Algebra
• Print ISSN: 0092-7872
• Electronic ISSN: 1532-4125
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Volume: 46
• Issue: 10
• Pages: 4561-4576
• DOI: https://doi.org/10.1080/00927872.2018.1448845
• Keywords: Automorphisms, automorphism group, cyclic semifields, Jha-Johnson semifields, skew polynomials
• Public URL: https://nottingham-repository.worktribe.com/output/923571
• Publisher URL: https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1448845
• 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
• Contract Date: Jan 22, 2018