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

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

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Authors

C. Brown

Andrew Steele



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 Mar 29, 2024
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

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