BEING CAYLEY AUTOMATIC IS CLOSED under TAKING WREATH PRODUCT with VIRTUALLY CYCLIC GROUPS

We extend work of Berdinsky and Khoussainov ['Cayley automatic representations of wreath products', International Journal of Foundations of Computer Science 27(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.

About this item

Creator
Dmitry Berdinsky
Murray Elder
Jennifer Taback
Date
2021-12-13
Bowdoin Department or Program
Mathematics
Subject
Cayley automatic group
lamplighter group.
restricted wreath product
virtually infinite cyclic group
Access
Open access

Supplemental Files

Current image, full-size
Current image, reduced-size
Other download options:

Collection organization

Level of Description Summary Catalog Record