Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings. Issue 10 (3rd October 2018)

• Record Type: Journal Article
• Authors: Brown, Christian; Pumplün, Susanne; Steele, Andrew
• Is Part Of: Communications in algebra. Volume 46:Issue 10(2018)
• Page Start: 4561
• Page End: 4576
• Publication Date: 2018-10-03
• Subjects: Automorphisms -- automorphism group -- cyclic semifields -- Jha-Johnson semifields -- skew polynomials; Primary: 12K10 -- Secondary: 17A35 -- 17A60 -- 16S36 -- 17A36; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2018.1448845
• Languages: English
• ISSNs: 0092-7872

Abstract

ABSTRACT: We study the automorphisms of Jha-Johnson semifields obtained from a right invariant irreducible twisted polynomial f ∈ K [ t ; σ ], whereK = 𝔽 q n 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.