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An Affine Characterization of Moufang Projective Klingenberg Planes |
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| Authors: | C A Baker N D Lane J W Lorimer |
| Institution: | 1. Department of Mathematics and Computer Science, Mount Allison University, Sackville, New Brunswick, Canada, EOA 3CO 2. Department of Mathematics and Statistics, Mcmaster University, Hamilton, Ontario, Canada, L8S 4K1 3. Department of Mathematics, University Of Toronto, Toronto, Ontario, Canada, M5S 1A1 |
| Abstract: | It is shown that with minor exceptions all projective Klingenberg planes are Moufang exactly if they have a trilateral each of whose sides is the line at infinity of a translation plane; but there are non-Moufang projective Klingenberg planes which have a single line which produces an equiaffine translation plane or a point P so that all lines through P, except perhaps for some neighbour lines, produce translation planes. |
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