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.
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页码：285 / 301
页数：17
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