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https://hdl.handle.net/2440/3752
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Type: | Journal article |
Title: | Four-dimensional compact projective planes of orbit type (1,1) |
Author: | Betten, Dieter Polster, Burkard Michael |
Citation: | Results in Mathematics, 1999; 36(3-4):208-236 |
Issue Date: | 1999 |
ISSN: | 1420-9012 |
Statement of Responsibility: | Betten, Dieter; Polster, Burkard |
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. |
Keywords: | 51H10; 51H20; 51A35; Compact projective plane; classification |
DOI: | 10.1007/BF03322112 |
Appears in Collections: | Pure Mathematics publications |
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