Inner Automorphisms of Finite Semifields


Unlike finite fields, finite semifields possess inner automorphisms. A further surprise is that even noncommutative semifields possess inner automorphisms. We compute inner automorphisms and automorphism groups for semifields quadratic over the nucleus, the Hughes-Kleinfeld semifields and the Dickson commutative semifields.

DOI Code: 10.1285/i15900932v29n1supplp231

semifields; inner automorphisms

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