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arXiv · 2606.06122

The stable Andrews-Curtis conjecture and thickenable presentations of the trivial group

Marc Lackenby
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Abstract

We establish an explicit upper bound on the number of stable Andrews-Curtis moves that convert thickenable balanced presentations of the trivial group to the standard one-generator presentation. We also present a proof that thickenable balanced presentations of the trivial group satisfy the (unstable) Andrews-Curtis conjecture.

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Marc Lackenby. 2026-06-04. The stable Andrews-Curtis conjecture and thickenable presentations of the trivial group. https://arxiv.org/abs/2606.06122

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