论文标题
作用在树木上的群体的高传递性表征
A characterization of high transitivity for groups acting on trees
论文作者
论文摘要
当树上的作用最小的一般类型时,我们为作用在树木上的群体建立了鲜明的条件。这提供了高度传递群体的新示例,包括ICC不可溶解的Baumslag-Solitar群体,从而回答了船体和Osin的问题。
We establish a sharp sufficient condition for groups acting on trees to be highly transitive when the action on the tree is minimal of general type. This gives new examples of highly transitive groups, including icc non-solvable Baumslag-Solitar groups, thus answering a question of Hull and Osin.