Journal of Geometry

, Volume 21, Issue 1, pp 66–96 | Cite as

R2-planes with 3-dimensional automorphism group fixing precisely a line

  • Hansjoachim Groh
  • Martin F. Lippert
  • Hans -Joachim Pohl


It is shown that the class of these R2-planes consists of those listed by STRAMBACH 1970, those added by OSTMANN 1975, and those added by GROH 1981. This last class consists of sums of two hyperbola planes. Furthermore, the isomorphism types are determined. All investigations are carried out for the much more general situation of an R2-plane with Δ-invariant screen, Δ ≅ R2.


Automorphism Group General Situation Hyperbola Plane Isomorphism Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Verlag 1983

Authors and Affiliations

  • Hansjoachim Groh
    • 1
  • Martin F. Lippert
    • 1
  • Hans -Joachim Pohl
    • 1
  1. 1.FB 4 - AG 2 Geometrie und AlgebraTechnische Hochschule DarmstadtDarmstadt

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