Being Cayley automatic is closed under taking wreath product with virtually cyclic groups

Abstract

We extend work of the first author and Khoussainov 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.

8 pages, 3 figures. This result was previously included in the preprint arxiv:2008.02381