Kourovka notebook·kourovka:21_149
Conjecture 21.149
No independent check recorded yet. A formal artifact, declaration or published object is attached, but no rebuild of it is recorded here.
Fidelity F2: The correspondence is declared through an alignment table and written divergences.
AI activity
How grades workNo AI contribution recorded against this statement.
Fidelity
How fidelity is gradedF2 declared. The correspondence is declared through an alignment table and written divergences.
Declared by the projects
1As each project's formalization.yaml states it.
Kourovka
- authors
- Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison
- method
- autonomous — Aristotle (Harmonic)
- review
- author-verified (Wouter van Doorn, Elias Judin, Pietro Monticone, Daniel Morrison)
- axioms
- Classical.choice, Lean.ofReduceBool, Lean.trustCompiler, Quot.sound, propext
- sorry
- 0 unproved goals declared
- results
- 9 main results named, with an alignment table
- sources
- Unsolved Problems in Group Theory. The Kourovka Notebook; Unsolved Problems in Group Theory. The Kourovka Notebook; On Some Problems from the Kourovka Notebook
- divergences
- `kourovka_21_149` proves the original formulation recorded in version 43 of the Kourovka Notebook: the existence of a non-inner order automorphism of a Dlab group. Version 45 asks whether such an automorphism can fail to be induced by conjugation in any possibly larger Dlab group. That strengthened question is not proved here and remains open.
- checked by
- nobody independent of its authors yet
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All of themFormal material
Formal statements · 1
Cited proofs · 3
- KitaKen1/kourovka-21-149-lean/blob/5c34c22661071d412f66a42009a1fe68db473b31/lean/Kourovka21149FC.lean#L5740-L5775
- KitaKen1/kourovka-21-149-lean/blob/5c34c22661071d412f66a42009a1fe68db473b31/lean/Kourovka21149FC.lean#L5777-L5786
- pitmonticone/Kourovka/blob/dcfdbdad8c434e30f6151fb3b4343364d70eeed4/Kourovka/Problem_21_149.lean#L770-L775
Also known as · 2
- https://github.com/google-deepmind/formal-conjectures/blob/main/FormalConjectures/Kourovka/21_149.lean
- FormalConjectures/Kourovka/21_149.lean
Cite this record
qed.bot, “Conjecture 21.149”, https://qed.bot/s/kourovka-21-149, as of 30 Sep 2026.