Translation planes of large dimension admitting nonsolvable groups |
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| Authors: | V. Jha Norman L. Johnson |
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| Affiliation: | (1) Mathematics Department, Glasgow College, Cowcaddens Road, G4 OBA Glasgow;(2) Mathematics Department, The University of Iowa, 52242 Iowa City, IA |
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| Abstract: | In this article, the question is considered whether there exist finite translation planes with arbitrarily small kernels admitting nonsolvable collineation groups. For any integerN, it is shown that there exist translation planes of dimension >N and orderq3 admittingGL(2,q) as a collineation group. |
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