A characterization of twin buildings by twin apartments

被引：8

作者：

Abramenko, P

Ronan, M

机构：

[1] Univ Bielefeld, SFB Math 343, D-33501 Bielefeld, Germany

[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA

来源：

GEOMETRIAE DEDICATA | 1998年 / 73卷 / 01期

基金：

美国国家科学基金会;

关键词：

twin buildings; buildings; apartments;

D O I：

10.1023/A:1005065400830

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A twin building is a pair of buildings along with a certain 'codistance' between chambers of one building, and chambers of the other. All spherical buildings can be regarded as twin buildings (such a building is twinned with itself in a natural way), and the aim of this paper is to give a definition of twin buildings along the lines that Tits originally gave for spherical buildings. This alternative approach via apartments has been used by the first author in studying some group actions on twin buildings.

引用

页码：1 / 9

页数：9

共 13 条

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