Pure Mathematics

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Browsing Pure Mathematics by Author "Betten, Dieter"

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    Four-dimensional compact projective planes of orbit type (1,1)
    (1999) Betten, Dieter; Polster, Burkard Michael
    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.