论文标题
所有元素都具有可计数右恩格尔汇集的紧凑型组
Compact groups in which all elements have countable right Engel sinks
论文作者
论文摘要
$ g $的元素$ g $的右engel汇入$ {\ mathscr r}（g）$，以便每$ x \ in g $ in g $ in g $所有足够长的换向器$ [... [[g，x]，x]，x]，\ dots，x]，\ dots，x] $属于$ {\ mathscr r}（g）（g）$。 （因此，$ g $是当我们可以选择$ {\ mathscr r}（g）= \ {1 \} $的情况下。
A right Engel sink of an element $g$ of a group $G$ is a set ${\mathscr R}(g)$ such that for every $x\in G$ all sufficiently long commutators $[...[[g,x],x],\dots ,x]$ belong to ${\mathscr R}(g)$. (Thus, $g$ is a right Engel element precisely when we can choose ${\mathscr R}(g)=\{ 1\}$.) It is proved that if every element of a compact (Hausdorff) group $G$ has a countable (or finite) right Engel sink, then $G$ has a finite normal subgroup $N$ such that $G/N$ is locally nilpotent.
