Fixed points for group actions on 2-dimensional affine buildings

被引：0

作者：

Schillewaert, Jeroen ^{[1
]}

Struyve, Koen ^{[2
]}

Thomas, Anne ^{[3
]}

机构：

[1] Univ Auckland, Dept Math, 38 Princes St, Auckland 1010, New Zealand

[2] Burgemeester Couckestr 4, Dentergem, Belgium

[3] Univ Sydney, Sch Math & Stat, Sydney, NSW, Australia

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2025年 / 57卷 / 01期

关键词：

SPACES; ISOMETRIES; THEOREM;

D O I：

10.1112/blms.13197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a local-to-global result for fixed points of finitely generated groups acting on 2-dimensional affine buildings of types A similar to 2$\tilde{A}_2$ and C similar to 2$\tilde{C}_2$. Our proofs combine building-theoretic arguments with standard results for CAT(0)$\operatorname{CAT}(0)$ spaces.

引用

页码：285 / 301

页数：17

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