Bulletin of the Australian Mathematical Society. Vol.104, No.3 (2021), 464-474
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Dmitry Berdinsky, Murray Elder, Jennifer Taback BEING CAYLEY AUTOMATIC IS CLOSED under TAKING WREATH PRODUCT with VIRTUALLY CYCLIC GROUPS. Bulletin of the Australian Mathematical Society. Vol.104, No.3 (2021), 464-474. doi:10.1017/S000497272100023X Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/77373
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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.
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