论文标题
在广义的Baumslag-Solitar群体中检测完全不可还原的自动形态
Detection of fully irreducible automorphisms in generalized Baumslag-Solitar groups
论文作者
论文摘要
我们以类似于自由群体的完全不可还原的自动形态，定义了广义Baumslag-solitar群体的完全不可还原自动形态。我们首先获得了类似于卡波维奇（Kapovich）的条件的完全不可还原自动形态的表征。接下来，我们讨论了基于火车轨道代表中尼尔森路径的研究的伪周期性共轭类。最后，我们给出了一种算法，该算法发现具有火车轨道代表的自动形态是否为伪静脉且完全不可估。
We define fully irreducible automorphisms of generalized Baumslag-Solitar groups in analogy with fully irreducible automorphisms of free groups. We first obtain a characterization of fully irreducible automorphisms analogous to a condition given by Kapovich. Next we discuss the existence of pseudo-periodic conjugacy classes based on the study of Nielsen paths in a train track representative. Finally we give an algorithm which finds out whether an automorphism with a train track representative is pseudo-atoroidal and fully irreducible.
