Four-Dimensional Compact Projective Planes of Orbit Type (1,1)

Dieter Betten, Burkard Polster

Research output: Contribution to journalArticleResearchpeer-review


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 languageEnglish
Pages (from-to)208-236
Number of pages29
JournalResults in Mathematics
Issue number3-4
Publication statusPublished - 1 Nov 1999
Externally publishedYes


  • 51A35
  • 51H10
  • 51H20
  • classification
  • Compact projective plane

Cite this