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A note on planes of characteristic three
Published online by Cambridge University Press: 17 April 2009
Abstract
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A projective plane has characteristic three if in every ternary ring coordinatizing it all elements ≠ 0 of the additive loop have order 3. We show that if a finite plane of characteristic three is coordinatized by a near-field, then the plane is desarguesian.
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- Copyright © Australian Mathematical Society 1972
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