JP Journal of Algebra, Number Theory and Applications
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Abstract: Let q be an
odd prime power, be a finite field of order q
and A be a semifield of orderoveradmitting
an elementary group of order acting freely on A.
In this paper, we investigate these semifields. More precisely, we prove that
there is an matrix of
“structure constants” which completely determines A.
Many other new results are proved.
Keywords and phrases: semifields, Galois finite fields, groups of automorphisms.
