论文标题
立方组的可准性
Semistability of cubulated groups
论文作者
论文摘要
我们证明，所有立方体在无穷大的群体中都可以半固定。在此过程中，我们证明了有关小组的进一步结果。这些单次立方组的第一个状态都有一个群，所有半个空间都是一端的。第二个指出，任何一个群的组都有一个群，所有四分之一空间都很深 - 类似于以下事实：传递给给定肘的基本核心可确保所有半个空间都很深。
We prove that all cubulated groups are semistable at infinity. In doing so we prove two further results about cubulations of groups. The first of these states that any one-ended cubulated group has a cubulation for which all halfspaces are one-ended. The second states that any cubulated group has a cubulation for which all quarterspaces are deep -- analogous to the fact that passing to the essential core of a given cubulation ensures that all halfspaces are deep.
