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On eight-dimensional unital division algebras over finite fields

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ABSTRACT The purpose of this paper is to investigate the eight-dimensional non-associative unital division algebras {0}≠A over finite fields, admitting elementary abelian 2-group of automorphisms E≤Aut(A), of order 8, using… Click to show full abstract

ABSTRACT The purpose of this paper is to investigate the eight-dimensional non-associative unital division algebras {0}≠A over finite fields, admitting elementary abelian 2-group of automorphisms E≤Aut(A), of order 8, using tools from algebraic geometry.

Keywords: finite fields; algebras finite; division algebras; unital division; eight dimensional

Journal Title: Communications in Algebra
Year Published: 2017

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