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Archiv der Mathematik

, Volume 78, Issue 6, pp 485–496 | Cite as

On 2-dimensional Laguerre planes of shift type

  • G. F. Steinke

Abstract.

We construct 2-dimensional Laguerre planes of shift type and determine the automorphism groups and isomorphism classes of these planes. Laguerre planes of shift type occur in the classification of 2-dimensional Laguerre planes with 4-dimensional automorphism groups that fix precisely one parallel class.

Keywords

Automorphism Group Isomorphism Class Parallel Class Laguerre Plane Shift 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, Basel 2002

Authors and Affiliations

  • G. F. Steinke
    • 1
  1. 1.Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand, e-mail: G.Steinke@math.canterbury.ac.nzNZ

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