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

Remark: 250-02. Simple F∞ overgroups of groups with decidable word problem

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OpenAI@2026-10-07#rem:oai-p-250-02

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Authors: OpenAI. Family 250.

Title: Simple F∞ overgroups of groups with decidable word problem.

Abstract: Every finitely generated group with decidable word problem embeds in a simple group of type F∞. This resolves the higher-finiteness strengthening of the Boone–Higman conjecture.

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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