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math.GR2026
The stable Andrews-Curtis conjecture and thickenable presentations of the trivial group
Marc Lackenby
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…
math.GR2026
Every finite group admits a just finite presentation
Marc Lackenby
A finite presentation < X | R > of a finite group is called `just finite' if removing any relation from R results in a presentation for an infinite group. It has been an open quest…