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BEING CAYLEY AUTOMATIC IS CLOSED UNDER TAKING WREATH PRODUCT WITH VIRTUALLY CYCLIC GROUPS
Published online by Cambridge University Press: 13 April 2021
Abstract
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.
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- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 104 , Issue 3 , December 2021 , pp. 464 - 474
- Copyright
- © 2021 Australian Mathematical Publishing Association Inc.
Footnotes
The second author was supported by Australian Research Council grant DP160100486. The third author acknowledges support from Simons Foundation grant 31736 to Bowdoin College.
References
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