Tangentially transitive planes of order 16 |
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| Authors: | N L Johnson T G Ostrom |
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| Institution: | (1) Department of Mathematics, The University of Iowa, 52242 Iowa City, Iowa;(2) Department of Mathematics, Washington State University, 99163 Pullman, Washington |
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| Abstract: | Lorimer and Rahilly have given constructions for translation planes of order 16. We show that both of these planes have a subplane of order 2 and a group of collineations fixing pointwise which is transitive on the points of   –. We show that all such planes of order 16 are isomorphic and that these planes have a number of other properties which are exceptional. |
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