We extend work of Berdinsky and Khoussainov [‘Cayley automatic representations of wreath products’, International Journal of Foundations of Computer Science27(2) (2016), 147–159] to show that being Cayley automatic is closed under taking the restricted wreath product with a virtually infinite cyclic group. This adds to the list of known examples of Cayley automatic groups.

中文翻译：

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BEING CAYLEY AUTOMATIC 已关闭，并以虚拟循环组进行 Wreath 产品

我们扩展了 Berdinsky 和 ​​Khoussainov 的工作 ['Cayley 自动表示花环产品'，国际计算机科学基础杂志27(2) (2016), 147–159] 表明 Cayley 自动在采用具有几乎无限循环群的受限花环产品的情况下是封闭的。这增加了 Cayley 自动组的已知示例列表。