Back to Problems

counter_unit_conjecture_weak

Specification

There is a counterexample to **Unit Conjecture** in any characteristic.

Actions

Submit a Proof

Have a proof attempt? Submit it for zero-trust verification.

Submit Proof
Lean 4 Statement 
theorem counter_unit_conjecture_weak (p : ℕ) (hp : p = 0 ∨ p.Prime) :
    ∃ (G : Type) (_ : Group G) (_ : IsMulTorsionFree G)
      (K : Type) (_ : Field K) (_ :  CharP K p) (u : (MonoidAlgebra K G)ˣ), ¬IsTrivialUnit u.val
ID: Wikipedia__Kaplansky__counter_unit_conjecture_weak
Browse 300 unsolved math conjectures formalized in Lean 4
Browse

All Problems

Explore all 300 unsolved conjectures.

View problems →
ASI Prize documentation for formal verification pipeline
Docs

Verification Pipeline

How zero-trust verification works.

Read docs →
Evaluation Results

Recent Submissions

No submissions yet. Be the first to attempt this problem.