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4-Dimensional point-transitive groups of automorphisms of 2-dimensional laguerre planes

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Abstract

It is shown that a 2-dimensional Laguerre plane that admits a closed connected 4-dimensional point-transitive group of automorphisms must be classical. Further, up to conjugacy in the automorphism group of the classical real Laguerre plane, all closed connected 4-dimensional point-transitive subgroups are determined.

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  1. Department of Mathematics, University of Canterbury, Private Bag, Christchurch, New Zealand

    Günter F. Steinke

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  1. Günter F. Steinke
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Steinke, G.F. 4-Dimensional point-transitive groups of automorphisms of 2-dimensional laguerre planes. Results. Math. 24, 326–341 (1993). https://doi.org/10.1007/BF03322341

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