What was already known
Known reductions and special cases do not establish the geometric action for every group with a two-sphere boundary.
What changed and why it matters
Advances the stated target relative to the recorded baseline.
The AI contribution
OpenAI attributes the manuscript to its internal model; individual human contributions remain unspecified.
Limitations
The statement allows a finite kernel and orientation-reversing isometries. It does not assert that every such group acts faithfully or preserves orientation. Preprint. AIProofWatch read the source statement and context; it has not refereed the proof, compiled a formal development, or established community acceptance.
Verification evidence
Evidence labels show what supports the claim. Importance rates its impact if correct.
Author claim
The original source reports this scoped result; AIProofWatch reviewed its statement, not the full proof.
Accessible artifact / proof
A research manuscript or proof artifact is publicly accessible; availability is not independent checking.
Correction and publication history
Full source review, 11 October 2026. Historical addition; subscriber alerts disabled.
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