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.
Original language | English |
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Pages (from-to) | 208-236 |
Number of pages | 29 |
Journal | Results in Mathematics |
Volume | 36 |
Issue number | 3-4 |
DOIs | |
Publication status | Published - 1 Nov 1999 |
Externally published | Yes |
Keywords
- 51A35
- 51H10
- 51H20
- classification
- Compact projective plane