论文标题
小组图的火车轨道图
Train track maps for graphs of groups
论文作者
论文摘要
我们为小组图$ \ cal g $定义了火车轨道图，并展示了精确的条件，在这些条件下，以经典的火车轨道图扩展到此概括的基本有限属性。这些有限性的特性是控制火车轨道图的迭代下非法转弯减少的关键工具，它们是回答基本算法问题的主要成分，这些问题是关于$π_1\ cal g $的此类火车轨迹图引起的自动形态学的。
We define train track maps for graphs-of-groups $\cal G$ and exhibit the precise conditions under which the fundamental finiteness properties known for classical train track maps extend to this generalization. These finiteness properties are the crucial tool to control the decrease of illegal turns under iteration of the train track map, and they are a principal ingredient in the answer to basic algorithmic questions about automorphisms induced by such train track maps on $π_1 \cal G$.
