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Two-dimensional Laguerre planes over convex functions

✍ Scribed by Rainer Löwen; Ulrike Pfüller

Publisher
Springer
Year
1987
Tongue
English
Weight
571 KB
Volume
23
Category
Article
ISSN
0046-5755

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✦ Synopsis

TWO-DIMENSIONAL LAGUERRE PLANES OVER CONVEX FUNCTIONS

We construct two families of topological Laguerre planes with a 2-dimensional point set and with an at least 3-dimensional automorphism group.

Circles of these planes will be graphs in (R w or) × R of the form y=af(x)+sx+v or y=af(x-u)+v,

[2].

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