Abstract
We construct a new family of 2 -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 4 -dimensional groups of automorphisms that contain PSL 2 ( ℝ ) and are of Kleinewillinghofer type I.G.1.
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