Abstract
In this note we consider 2-dimensional Laguerre planes and prove structure theorems on their automorphism group Г. In particular, we look at connected locally simple Lie subgroups of Г and the factor group Σ/Δ of a connected closed subgroup Σ of Г over the kernel Δ of the action of Σ on the set of parallel classes. The informations obtained will be useful in the later classification of 2-dimensional Laguerre planes having a 4-dimensional automorphism group.
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Dedicated to Professor H. Salzmann on the occasion of his 60th birthday
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Steinke, G.F. On the structure of the automorphism group of 2-dimensional Laguerre planes. Geom Dedicata 36, 389–404 (1990). https://doi.org/10.1007/BF00150803
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DOI: https://doi.org/10.1007/BF00150803