What was already known
Several solvable subcases were known. A previous general solvable proof was withdrawn after a gap.
AI involvement
Murali Menon chose and directed the problem. Claude agents developed and repaired most of the proof; Codex supplied a central divisibility route.
Codex supplied a central divisibility route and Claude agents built the proof, while Menon directed the problem and accepted the result; exact first authorship of every step is not logged.
Importance
Extends the conjecture to all solvable groups, including infinite groups.
Limitations
The general conjecture for arbitrary groups remains open. Priority has not had specialist confirmation, and no independent human mathematical review is documented.
Technical verification
The cited source reports sorry-free Lean proofs of the index and cardinality forms with standard axioms and Comparator statements matching the upstream exact-covering formulation plus solvability. The paper reviews were AI-only, and the machine run was not reproduced here.
Formal checking
The pinned source reports sorry-free Lean proofs of the index and cardinality forms with standard axioms and Comparator statements matching the upstream exact-covering formulation plus solvability. The paper reviews were AI-only, and the machine run was not reproduced here.
- Checker
- Lean kernel and Comparator in Menon's pinned repository
- Scope
- Erdos274.Palomar.herzog_schonheim_solvable and erdos_274_solvable for exact coverings of solvable groups
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Default for missing human explanation: Menon's direction and acceptance do not document a person's account of the central finite-solvable argument, and the paper reviewers named here are AI systems.
Correction and publication history
Extends the conjecture to all solvable groups, including infinite groups.
Read this published revision