On orbits and the finiteness of bounded automaton groups
نویسندگان
چکیده
We devise an algorithm which, given a bounded automaton A, decides whether the group generated by A is finite. The solution comes from description of infinite sequences having A-orbit using deterministic finite-state acceptor. This acceptor can also be used to decide acts level-transitively.
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2021
ISSN: ['0218-1967', '1793-6500']
DOI: https://doi.org/10.1142/s0218196721400087