C. Brown
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 | 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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