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Line-rank 3 affine planes
Published online by Cambridge University Press: 17 April 2009
Abstract
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We consider finite affine planes having a collineation group acting as a rank 3 permutation group on the affine lines. By a classical result of A. Wagner, such affine planes are translation planes. We show that if, in addition, the plane has odd dimension or dimension 2 over its kernel, then the plane is Desarguesian.
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- Copyright © Australian Mathematical Society 1982
References
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