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JP Journal of Algebra, Number Theory and Applications

Abstract:
Let q be an odd prime power,

be a finite field of order q and A be a semifield of order

over

admitting 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.

Communicated by Yangming Li

Number of Downloads: 458 | Number of Views: 1413

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P-ISSN: 0972-5555

E-ISSN: 3049-2084

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