On elation Laguerre planes with a two-transitive orbit on the set of generators

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2017
Authors
Steinke GF
Stroppel MJ
Abstract

We study finite elation Laguerre planes with a group of automorphisms fixing a generator and acting two-transitively on the set of remaining generators. For odd order, this assumption characterizes the Miquelian Laguerre planes, but there are non-Miquelian examples if the order is even.

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Citation
Steinke GF, Stroppel MJ (2017). On elation Laguerre planes with a two-transitive orbit on the set of generators. Stuttgarter Mathematische Berichte. 2017-009.
Keywords
Laguerre plane, Elation group, two-transitive group, socle, ovoidal Laguerre plane, Miquelian Laguerre plane
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ANZSRC fields of research
Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics
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