Simple groups acting two-transitively on the set of generators of a finite elation Laguerre plane

  • Günter F. Steinke
  • Markus J. Stroppel
Original Paper


We show that finite elation Laguerre planes with a group of automorphisms acting two-transitively on the set of generators are Miquelian. In this paper we discuss in detail three series of groups of (twisted) Lie type that may possibly occur as socles of the two-transitive group induced on the set of generators; all other cases have been treated in a separate paper.


Laguerre plane Elation group Two-transitive group Socle  Simple group of Lie type Unitary group Ree group 

Mathematics Subject Classification (2000)

51E25 51B15 20B20 



The present investigation has been conducted during a stay of the second author as a Visiting Erskine Fellow at the University of Canterbury, Christchurch, New Zealand.


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Copyright information

© The Managing Editors 2013

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CanterburyChristchurchNew Zealand
  2. 2.LExMath Fakultät für Mathematik und PhysikUniversität StuttgartStuttgartGermany

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