A search for higher-dimensional arc planes |
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Authors: | A Wörner |
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Institution: | 1. Mathematisches Institut, Fachbereich Mathematik und Informatik der Universit?t Münster, Einsteinstra?e 62, 48149, Münster, Germany
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Abstract: | The concept of arc planes introduced byH. Groh (see 3]) has been extended to higher dimensions in 9]. By definition, a stable plane with point space ?2l is an arc plane if all vector space translations are automorphisms. The lines are either affine subspaces or graphs of non-affine functions. We examine these functions, especially their domains, and obtain information restricting the search for examples. Roughly speaking, one should start with a translation plane and substitute some lines with the graphs of suitable functions. |
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