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Research / Jul 26, 2026

Presentation of the absolute Galois group of Q₂

Can the symmetries of all algebraic extensions of the 2-adic numbers be described by explicit generators and relations?

Model / AI: Claude Fable 5, GPT-5.5 Pro

machine-checkedself-reported
Jul 26, 2026

The 2-adic absolute Galois group

Model / AI: Claude Fable 5, GPT-5.5 Pro

machine-checkedself-reported

Claude Fable 5 found the first candidate presentation for Roe, then a GPT-5.5 Pro harness run for Turturean produced an explicit presentation plus a long proof; passed Roe's 5,402-group verifier and two Lean developments, both conditional on unformalized classical inputs (nine and seven respectively). Not yet peer reviewed.

Source review pending. Imported from the original notes; linked claims and artifacts have not been re-audited in this restructuring.