Higher dimensional Thompson groups have Serre's property FA
Higher dimensional Thompson groups have Serre's property FA
复制标题
高维 Thompson 群具有 Serre 属性 FA
DOI：
--
复制
发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Motoko Kato
中科院分区：
文献类型：
--
作者：
Motoko Kato
汤普逊群V是康托集合的同胚群的一个子群。Brin将高维Thompson群nV定义为V的推广。我们证明nV对于每一个n都具有Serre的性质FA。这是Farley研究V的相应结果的推广。
The Thompson group V is a subgroup of the homeomorphism group of the Cantor set. Brin defined higher dimensional Thompson groups nV as generalizations of V. We prove that nV has Serre's property FA, for every n. This is a generalization of the corresponding result of Farley, who studied V.