On eight-dimensional unital division algebras over finite fields |
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| Authors: | Mashhour Bani-Ata Ra’ed Al-Nouty |
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| Affiliation: | 1. Department of Mathematics, PAAET, Safat, Kuwaitmashhour_ibrahim@yahoo.com;3. Department of Mathematics, Hashemite University, Zarqa, Jordan |
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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 tools from algebraic geometry. |
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| Keywords: | Homogeneous polynomial Lang–Weil theorem Nim-addition structure-constant |
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