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A family of 2-dimensional Laguerre planes of generalised shear type

Published online by Cambridge University Press:  17 April 2009

B. Polster  and
G. F. Steinke
B. Polster
Affiliation:
Department of Pure Mathematics, The University of Adelaide, South Australia 5005, Australia, e-mail: [email protected]
G. F. Steinke
Affiliation:
Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand, e-mail: [email protected]
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Abstract

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We construct a family of 2-dimensional Laguerre planes that generalises ovoidal Laguerre planes and the Laguerre planes of shear type, as described by Löwen and Pfüller, by gluing together circle sets from up to eight different ovoidal Laguerre planes. Each plane in this family admits all maps (x, y) ↦ (x, ry) for r > 0 as central automorphisms at the circle y = 0.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 1 , February 2000 , pp. 69 - 83
Copyright
Copyright © Australian Mathematical Society 2000

References

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