Isometries of wall-connected twin buildings

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2023-03-31 DOI:10.1515/advgeom-2023-0013

Sebastian Bischof, B. Mühlherr

引用次数: 1

Abstract

Abstract We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co) (introduced in [7]) is wall-connected, we obtain a strengthening of the main result of [7] that covers also the thick irreducible affine twin buildings of rank at least 3.

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连墙双栋建筑的立体图

摘要:本文介绍了墙壁连接的双子建筑的概念，并说明了这些双子建筑的局部到全球原则。由于每个满足条件(co)的双生建筑([7]中介绍)都是墙连接的，我们得到了[7]的主要结果的强化，该结果也涵盖了等级至少为3的厚的不可约仿射双生建筑。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.