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

被引：5
|
作者：
Polster, B
Steinke, GF
机构：
[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
[2] Univ Canterbury, Dept Math & Stat, Christchurch, New Zealand
来源：
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2000年 / 61卷 / 01期
关键词：
D O I：
10.1017/S0004972700022024
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a family of 2-dimensional Laguerre planes that generalises ovoidal Laguerre planes and the Laguerre planes of shear type, as described by Lowen and Pfuller, by gluing together circle sets from up to eight different ovoidal Laguerre planes. Each plane in this family admits all maps (x,y) bar right arrow (x, ry) for r > 0 as central automorphisms at the circle y = 0.
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页码：69 / 83
页数：15
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