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arXiv · 1710.10109

The word and order problems for self-similar and automata groups

Laurent Bartholdi·Ivan Mitrofanov
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Abstract

We prove that the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting.

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Laurent Bartholdi, Ivan Mitrofanov. 2017-10-27. The word and order problems for self-similar and automata groups. https://arxiv.org/abs/1710.10109

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