Sisters of some 4-dimensional elation Laguerre planes
نویسنده
چکیده
We give an explicit description of some sisters of 4-dimensional elation Laguerre planes of group dimension 10 with respect to points of the Laguerre planes. In this way we obtain the first concrete examples of 4-dimensional Laguerre planes of group dimensions 8 and 7 and of 4-dimensional Laguerre planes that are not elation Laguerre planes. MSC 2000: 51H15.
منابع مشابه
A characterization of certain elation Laguerre planes
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 2or 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. MSC 2000: 51H15, 51B15, 51E25
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