关于非分裂特征2的严格k-传递作用及其推广的简单 acylindrical 构造方法
A simple acylindrical recipe for non-split characteristic $2$ sharply $k$-transitive actions and their generalizations
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中文总结 AI 辅助
该研究给出群在δ-双曲空间上 acylindrical 作用的条件，可构造出k-严格传递作用，还得到有限生成的分裂严格2-、3-传递作用的简单例子。
中文摘要 AI 辅助
我们给出了群G在δ-双曲度量空间上 acylindrically 作用的一组相当简单的条件，这意味着该群在某个集合上具有k-严格传递作用，即对k元子集是传递的，且对任意k元子集A，其集合稳定子在A上的作用由某个固定子群Θ≤symₖ规定。特别地，这给出了许多有限生成甚至有限呈现的分裂严格2-传递和3-传递作用的简单例子。
英文摘要
We provide a fairly simple list of conditions on a group $G$ acting acylindrically on a $δ$-hyperbolic metric space implying that the group admits an action on a set that is $k$-sharp, transitive on $k$-sets and has the property that for any $k$-set $A$ the setwise stabilizer of $A$ acts on $A$ as prescribed by some fixed subgroup $Θ\leq\sym_{k}$. In particular, this yields many easy examples of finitely generated and even presented split sharply $2$ and $3$-transitive actions.
