Finite geometries which contain dual affine planes |
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Authors: | Mark P Hale |
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Institution: | University of Florida, Gainesville, Florida 32611, USA |
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Abstract: | Finite geometries in which each plane is projective or dual affine over the field of two elements, or affine over the field of three elements, are studied. It is shown that no connected geometry can mix all three species of planes, and the geometries in which projective and dual affine planes occur are classified. |
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