SWhat is claimed?
The manuscript claims a finitely presented torsion-free group G and elements a,b,c in F2[G] with ab=1, ac=0 and c nonzero. These identities would force ba!=1, disproving direct finiteness in this positive-characteristic setting. Reported result; not independently verified by WRS. Ranked using a provisional grade and reference estimate for the exact claimed result.
Scientific scope
The known characteristic-zero theorem is unchanged. The available family scope note describes other characteristic-two and odd-characteristic constructions, not this selected torsion-free paper; that Lean coverage cannot be transferred to this target. The August nonsofic-group package needs explicit overlap review. WRS has inspected the cited statement and source-reported formalization scope where available; it has not audited the full proof or replayed Lean.
Evidence state
The source reports this result. WRS has not independently reconstructed the complete argument or validated the reported evidence. The grade and score here express conditional significance; they do not certify correctness. The provisional value enters the main reference rankings with an unverified label, but not achieved-science progress totals.
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