Given a G-flow X, let $\mathrm{Aut}(G, X)$ , or simply $\mathrm{Aut}(X)$ , denote the group of homeomorphisms of X which commute with the G action. We show that for any pair of countable groups G and H with G infinite, there is a minimal, free, Cantor G-flow X so that H embeds into $\mathrm{Aut}(X)$ . This generalizes results of [2, 7].

中文翻译：

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任意扶正器的最小流量

给定一个G-流动X， 让$\mathrm{Aut}(G, X)$，或者简单地说$\mathrm{Aut}(X)$, 表示的同胚群X与G行动。我们证明对于任何一对可数组G和H和G无限的，有一个最小的，自由的，康托尔G-流动X以便H嵌入$\mathrm{Aut}(X)$. 这概括了 [2,7]。