论文标题
在某些类别的组中检测子组的共轭稳定性
Detecting conjugacy stability of subgroups in certain classes of groups
论文作者
论文摘要
在本文中，我们考虑子组的{\ em共轭稳定性}属性，并提供有效的程序来解决几类组中的问题。特别是，我们从自由组开始，也就是说，我们提供了一个有效的程序，以找出自由组的有限生成的子组是否稳定。然后，我们将此结果进一步概括为无扭转双曲线组和有限生成的极限组的亚组的准凸子群。
In this paper we consider the {\em conjugacy stability} property of subgroups and provide effective procedures to solve the problem in several classes of groups. In particular, we start with free groups, that is, we give an effective procedure to find out if a finitely generated subgroup of a free group is conjugacy stable. Then we further generalize this result to quasi-convex subgroups of torsion-free hyperbolic groups and finitely generated subgroups of limit groups.
