The present work shows that Cayley automatic groups are semiautomatic and exhibits some further constructions of semiautomatic groups and in particular shows that every finitely generated group of nilpotency class 3 is semiautomatic.
CITATION STYLE
Jain, S., Khoussainov, B., & Stephan, F. (2016). Finitely generated semiautomatic groups. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9709, pp. 282–291). Springer Verlag. https://doi.org/10.1007/978-3-319-40189-8_29
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