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Abstract
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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.
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Keywords
Laguerre plane, topological incidence geometry, generalized
quadrangle
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Mathematical Subject Classification 2010
Primary: 51H15
Secondary: 51B15
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Milestones
Received: 2 November 2017
Revised: 20 November 2017
Accepted: 3 January 2018
Published: 19 November 2018
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