Abstract
We construct a new family of -dimensional Laguerre planes that differ from the classical real Laguerre plane only in the circles that meet a given circle in precisely two points. These planes share many properties with but are nonisomorphic to certain semiclassical Laguerre planes pasted along a circle in that they admit -dimensional groups of automorphisms that contain and are of Kleinewillinghöfer type I.G.1.
Citation
Günter F. Steinke. "A new family of $2$-dimensional Laguerre planes that admit $\mathrm{PSL}_2(\mathbb R) \times\mathbb R$ as a group of automorphisms." Innov. Incidence Geom. Algebr. Topol. Comb. 17 (1) 53 - 75, 2019. https://doi.org/10.2140/iig.2019.17.53
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