Group theory·OpenAI Math·Result 253·Lean formalisation listed
An infinite finitely presented simple amenable group
One of the 372 results in OpenAI's public mathematics catalogue, filed under group theory: 1 preprint, the latest dated 23 September 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.
Latest paper
An infinite finitely presented simple amenable group
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What OpenAI claims
Constructs an infinite finitely presented simple amenable group, answering the longstanding question of whether these properties can occur simultaneously. (Lean)
Paper
An infinite finitely presented simple amenable group
We construct an infinite finitely presented simple amenable group, giving a positive answer to the finite-presentation existence question for simple amenable groups.
Status
Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.
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