On the hyperbolic unitary geometry

被引：0
|
作者：
Altmann, Kristina
Gramlich, Ralf [1 ,2 ]
机构：
[1] Tech Univ Darmstadt, Fachbereich Math, AGF, D-64289 Darmstadt, Germany
[2] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
来源：
JOURNAL OF ALGEBRAIC COMBINATORICS | 2010年 / 31卷 / 04期
关键词：
Hyperbolic unitary geometry; Root group geometry; Local recognition graphs; Centralisers of involutions; TRANSVECTION GROUPS;
D O I：
10.1007/s10801-009-0200-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Hans Cuypers (Preprint) describes a characterisation of the geometry on singular points and hyperbolic lines of a finite unitary space-the hyperbolic unitary geometry-using information about the planes. In the present article we describe an alternative local characterisation based on Cuypers' work and on a local recognition of the graph of hyperbolic lines with perpendicularity as adjacency. This paper can be viewed as the unitary analogue of the second author's article (J. Comb. Theory Ser. A 105:97-110, 2004) on the hyperbolic symplectic geometry.
引用
收藏
页码：547 / 583
页数：37
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