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A Characterization of Certain Elation Laguerre Planes in Terms of Kleinewillinghöfer Types

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Abstract

We characterize the non-classical 4-dimensional elation Laguerre planes as precisely those 4-dimensional Laguerre planes of Kleinewillinghöfer type I.D.1. Furthermore, in the class of 2- or 4-dimensional Laguerre planes or finite Laguerre planes of odd order, the non-miquelian elation Laguerre planes are precisely the Laguerre planes of Kleinewillinghöfer type D.

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  1. Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, 8020, New Zealand

    Günter F. Steinke

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  1. Günter F. Steinke
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Steinke, G.F. A Characterization of Certain Elation Laguerre Planes in Terms of Kleinewillinghöfer Types. Results. Math. 57, 43–51 (2010). https://doi.org/10.1007/s00025-009-0004-x

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