The translation planes of order 81 that admit SL(2,5), generated by affine elations |
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| Authors: | Norman L Johnson Alan R Prince |
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| Institution: | (1) Department of Mathematics, University of Iowa, Iowa City, Iowa, 52242, U.S.A;(2) School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh, EH14 4AS, United Kingdom |
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| Abstract: | The translation planes of order 81 admitting SL(2, 5), generated by affine elations, are completely determined. There are seven mutually non-isomorphic translation planes,
of which five are new. Each of these planes may be derived producing another set of seven mutually non-isomorphic translation
planes admitting SL(2, 5), where the 3-elements are Baer. Of this latter set, five planes are new. |
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| Keywords: | 51E23 51A40 |
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