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A note on planes of characteristic three

Published online by Cambridge University Press:  17 April 2009

Michael J. Kallaher
Michael J. Kallaher
Affiliation:
Department of Pure and Applied Mathematics, Washington State University, Pullman, Washington, USA.
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 1 , August 1972 , pp. 105 - 111
Copyright
Copyright © Australian Mathematical Society 1972

References

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