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OpenAI reports: An infinite finitely presented residually finite 2-group

OpenAI reports an infinite discrete group with an ordinary finite presentation that is residually finite and has finite two-power order for every element, with unbounded element orders.

Sources for this record

What was already known

Infinite finitely generated residually finite torsion groups were known. The additional target is an ordinary finite presentation, rather than a profinite presentation or a presentation in a restricted variety.

What changed and why it matters

Adds ordinary finite presentation to the stated infinite residually finite torsion-group construction target.

The AI contribution

OpenAI attributes these manuscripts to its internal model. The entry does not infer individual human contributions beyond that publisher attribution.

Limitations

The proof relies on its companion periodic Steinberg-group construction. The group is abstract discrete, and finite presentation must not be confused with finite generation. Preprint. This is a source-statement and significance assessment, not a proof audit. No independent checking or successful formal compilation is asserted by this entry.

Verification evidence

Evidence labels show what supports the claim. Importance rates its impact if correct.

Author claim

The publisher reports the scoped result. AIProofWatch has not independently validated its correctness.

Accessible artifact / proof

The original written argument is accessible. Availability does not establish a successful proof check or Lean verification.

Correction and publication history

2026-10-11 · publication

Historical report added after statement, scope, and importance review. No proof audit or formal checking asserted; subscriber alerts disabled.

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