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

Remark: 258-01. Baumslag-Solitar-free one-relator groups are hyperbolic

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Authors: OpenAI. Family 258.

Title: Baumslag-Solitar-free one-relator groups are hyperbolic.

Abstract: We prove Gersten's conjecture: every finitely generated one-relator group containing no subgroup isomorphic to a Baumslag–Solitar group ${}mathop{{}mathrm{BS}}{}nolimits (m,n)$, for nonzero integers m, n, is word-hyperbolic.

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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