Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 258-02. Virtual compact specialness of hyperbolic one-relator groups
Manuscript map · lines 7485–7494
OpenAI@2026-10-07#rem:oai-p-258-02
Authors: OpenAI. Family 258.
Title: Virtual compact specialness of hyperbolic one-relator groups.
Abstract: We prove that every word-hyperbolic one-relator group is virtually compact special. Combined with the work of Kielak–Linton, this resolves Wise's virtual free-by-cyclic conjecture for hyperbolic one-relator groups: every such group is virtually free-by-cyclic, with the free kernel allowed to have infinite rank.
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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