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arXiv · 2505.20057

On groups with EDT0L word problem

Alex Bishop·Murray Elder·Alex Evetts·Paul Gallot·Alex Levine
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Abstract

We prove that the word problem for the infinite cyclic group is not EDT0L, and obtain as a corollary that a finitely generated group with EDT0L word problem must be torsion. In addition, we show that the property of having an EDT0L word problem is invariant under change of generating set and passing to finitely generated subgroups. This represents significant progress towards the conjecture that all groups with EDT0L word problem are finite (i.e. precisely the groups with regular word problem).

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Alex Bishop, Murray Elder, Alex Evetts, Paul Gallot, Alex Levine. 2025-05-26. On groups with EDT0L word problem. https://arxiv.org/abs/2505.20057

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