Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
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-Kleinfe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis
2018
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| Online Access: | https://eprints.nottingham.ac.uk/49268/ |
| _version_ | 1848797960990621696 |
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| author | Brown, Christian Pumpluen, Susanne Steele, Andrew |
| author_facet | Brown, Christian Pumpluen, Susanne Steele, Andrew |
| author_sort | Brown, Christian |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:12:11Z |
| format | Article |
| id | nottingham-49268 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:12:11Z |
| publishDate | 2018 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-492682019-04-02T04:30:11Z https://eprints.nottingham.ac.uk/49268/ Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings Brown, Christian Pumpluen, Susanne Steele, Andrew 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. Taylor & Francis 2018-04-02 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/49268/1/automorphismsCommAlg.pdf Brown, Christian, Pumpluen, Susanne and Steele, Andrew (2018) Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Communications in Algebra, 46 (10). pp. 4561-4576. ISSN 1532-4125 Automorphisms automorphism group cyclic semifields Jha-Johnson semifields skew polynomials https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1448845 doi:10.1080/00927872.2018.1448845 doi:10.1080/00927872.2018.1448845 |
| spellingShingle | Automorphisms automorphism group cyclic semifields Jha-Johnson semifields skew polynomials Brown, Christian Pumpluen, Susanne Steele, Andrew Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title | Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title_full | Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title_fullStr | Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title_full_unstemmed | Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title_short | Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings |
| title_sort | automorphisms and isomorphisms of jha-johnson semifields obtained from skew polynomial rings |
| topic | Automorphisms automorphism group cyclic semifields Jha-Johnson semifields skew polynomials |
| url | https://eprints.nottingham.ac.uk/49268/ https://eprints.nottingham.ac.uk/49268/ https://eprints.nottingham.ac.uk/49268/ |