English

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

Group Theory 2021-03-22 v1

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.

Cite

@article{arxiv.2103.10648,
  title  = {Being Cayley automatic is closed under taking wreath product with virtually cyclic groups},
  author = {Dmitry Berdinsky and Murray Elder and Jennifer Taback},
  journal= {arXiv preprint arXiv:2103.10648},
  year   = {2021}
}

Comments

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

R2 v1 2026-06-24T00:20:37.782Z