Nonexistence of new order-9 projective plane with order-13 collineation |
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| Authors: | E T Parker R B Killgrove |
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| Institution: | (1) Department of Mathematics, University of Illinois, 61801 Urbana, Illinois;(2) Department of Mathematics, SUNY, 14454 Geneseo, New York |
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| Abstract: | The order-9 Desarguesian projective plane and the known self-dual non-Desarguesian plane ( Carmichael or Hughes plane) each have a 13-collineation displacing all points and all lines. We show that no previously undiscovered 9-plane has this property. |
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