论文标题
Cayley-Abels图:本地和全球视角
Cayley-Abels graphs: Local and global perspectives
论文作者
论文摘要
我们为完全断开的本地紧凑(TDLC)组的Cayley-Abels图提供了介绍。这是Cayley图的概括。我们说明,一方面,Cayley-Abels图是有用的工具,可扩展有关有限生成的组以紧凑生成的概念,TDLC组,另一方面,它们可用于调查针对有限生成的组的属性,这些属性是琐碎的。
We give an introduction to the Cayley-Abels graph for a totally disconnected, locally compact (tdlc) group. It is a generalization of the Cayley graph. We illustrate that on the one hand, Cayley-Abels graphs are useful tools to extend concepts concerning finitely generated groups to compactly generated, tdlc groups and on the other hand, they can be used to investigate properties that, for finitely generated groups, are trivial.