Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 248-01. Thompson's group F is nonamenable

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OpenAI@2026-10-07#rem:oai-p-248-01

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Authors: OpenAI. Family 248.

Title: Thompson's group F is nonamenable.

Abstract: We prove that Thompson's group F is nonamenable. This confirms Geoghegan's conjecture and resolves the amenability problem for F.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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