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

Remark: 250-01. Finite algebraic envelopes and the Boone–Higman conjecture

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OpenAI@2026-10-07#rem:oai-p-250-01

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Authors: OpenAI. Family 250.

Title: Finite algebraic envelopes and the Boone–Higman conjecture.

Abstract: We prove the Boone–Higman conjecture. A finitely generated group has decidable word problem if and only if it embeds in a finitely presented simple group.

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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