ON THE ACTIONS OF HIGMAN-THOMPSON GROUPS BY HOMEOMORPHISMS

被引：0
|
作者：
Kim, Jin Hong [1 ]
机构：
[1] Chosun Univ, Dept Math Educ, Gwangju 61452, South Korea
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2020年 / 57卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Higman-Thompson groups; finitely presented infinite simple groups; finite abelian groups; cohomology manifolds; Zimmer program;
D O I：
10.4134/BKMS.b190316
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this short paper is to show some rigidity results for the actions of certain finitely presented groups by homeomorphisms. As an interesting and special case, we show that the actions of HigmanThompson groups by homeomorphisms on a cohomology manifold with a non-zero Euler characteristic should be trivial. This is related to the well-known Zimmer program and shows that the actions by homeomorphism could be very much different from those by diffeomorphisms.
引用
收藏
页码：449 / 457
页数：9
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