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A family of 2-dimensional Laguerre planes of generalised shear type
Published online by Cambridge University Press: 17 April 2009
Abstract
We construct a family of 2-dimensional Laguerre planes that generalises ovoidal Laguerre planes and the Laguerre planes of shear type, as described by Löwen and Pfüller, by gluing together circle sets from up to eight different ovoidal Laguerre planes. Each plane in this family admits all maps (x, y) ↦ (x, ry) for r > 0 as central automorphisms at the circle y = 0.
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- Copyright © Australian Mathematical Society 2000
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