Back to Problems

UnitConjecture.counterexamples.i

Specification

If $P$ is the Promislow group, then the group ring $\mathbb{F}_p[P]$ has a non-trivial unit.

Actions

Submit a Proof

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

Submit Proof
Lean 4 Statement 
theorem UnitConjecture.counterexamples.i (p : ℕ) [hp : Fact p.Prime] :
    ∃ (u : (MonoidAlgebra (ZMod p) PromislowGroup)ˣ), ¬IsTrivialUnit u.val
ID: Wikipedia__Kaplansky__UnitConjecture.counterexamples.i
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.