JP Journal of Algebra, Number Theory and Applications
Volume 19, Issue 2, Pages 215 - 224
(December 2010)
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ON SEMIFIELDS OF ORDER
q AN ODD PRIME POWER
M. M. Al-Shomrani and M. I. Bani-Ata
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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.