论文标题
免费产品中的扭曲共轭
Twisted conjugacy in free products
论文作者
论文摘要
令$ ϕ：g \ to g $为一个组的自态，这是有限的许多组的自由产品，每个组都是自由不可分解的，两个因素包含适当的有限索引特征亚组。我们表明，$ g $具有无限的许多$ ϕ $ twist的共轭类。作为一个应用程序，我们表明，如果$ g $是一个不可简化的三个manifold的基本组，那么$ g $具有属性$ r_ \ infty $，也就是说，每种$ g $ $ g $的$ g $中有无限的$ ϕ $ twist $ g $ $ g $。
Let $ϕ:G\to G$ be an automorphism of a group which is a free-product of finitely many groups each of which is freely indecomposable and two of the factors contain proper finite index characteristic subgroups. We show that $G$ has infinitely many $ϕ$-twisted conjugacy classes. As an application, we show that if $G$ is the fundamental group of a three-manifold that is not irreducible, then $G$ has property $R_\infty$, that is, there are infinitely many $ϕ$-twisted conjugacy classes in $G$ for every automorphism $ϕ$ of $G$.
