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A
new family of $2$-dimensional Laguerre planes that admit
$\mathrm{PSL}_2(\mathbb R) \times\mathbb R$ as a group of
automorphisms
Günter F. Steinke |
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Vol. 17 (2019), No. 1, 53–75
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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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Authors |
| Günter F. Steinke | |
| School of Mathematics and
Statistics University of Canterbury Christchurch New Zealand |
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