Four-Dimensional Compact Projective Planes of Orbit Type (1,1) |
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| Authors: | Dieter Betten Burkard Polster |
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| Affiliation: | 1. Mathematisches Seminar der Universit?t, Ludewig-Meyn-Str. 4, 24106, Kiel, Germany
2. Department of Pure Mathematics, The University of Adelaide, Adelaide, SA, 5005, Australia
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| Abstract: | We consider 4-dimensional flexible projective planes with the following properties: The collineation group is a 6-dimensional solvable Lie group which fixes some flag ∞ ∈ W. Furthermore, the collineation group has a 1-dimensional orbit both on W and on the pencil of lines through {∞}. We show that there are three different families of planes with these properties. |
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