论文标题
Cayley图形很少的自动形态：无限组的情况
Cayley graphs with few automorphisms: the case of infinite groups
论文作者
论文摘要
我们表征了有限生成的群体，该群体允许Cayley图，其唯一的自动形态是翻译，证实了沃特金斯（Watkins）从1976年开始的猜想。证明依赖于随机步行技术。结果，每个有限生成的组都允许一个带有可计数自动形态组的Cayley图。我们还处理有向图的情况。
We characterize the finitely generated groups that admit a Cayley graph whose only automorphisms are the translations, confirming a conjecture by Watkins from 1976. The proof relies on random walk techniques. As a consequence, every finitely generated group admits a Cayley graph with countable automorphism group. We also treat the case of directed graphs.
