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An infinite finitely presented simple amenable group

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Constructs an infinite finitely presented simple amenable group, answering the longstanding question of whether these properties can occur simultaneously. (Lean)

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An infinite finitely presented simple amenable group

September 23, 2026 · source · Lean formalization available · cite as \cite{OAI:An-Infinite-Finitely-Presented-Simple-Amenable-Group-September-23-2026}

We construct an infinite finitely presented simple amenable group, giving a positive answer to the finite-presentation existence question for simple amenable groups.


Result 253 · Group theory. Imported from openai/math, a collection of manuscripts produced by an OpenAI model; results are at different stages of verification. Discussion below is by Lemma members.

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Source: https://github.com/openai/math/blob/main/CONTENTS.md

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posted 21 days ago

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