Back to Problems
exists_nonabelian_leinster_group
Specification
Non-abelian Leinster groups exist. For example, `S₃ × C₅` (order 30) and `A₅ × C₁₅₁₂₈` are Leinster groups. Reference: Leinster, Tom (2001). "Perfect numbers and groups".
Lean 4 Statement
theorem exists_nonabelian_leinster_group :
∃ G : Type, ∃ (_ : Group G) (_ : Fintype G),
IsLeinster G ∧ ¬ ∀ (a b : G), a * b = b * a
Browse
All Problems
Explore all 300 unsolved conjectures.
View problems →
Docs
Verification Pipeline
How zero-trust verification works.
Read docs →
Evaluation Results
Recent Submissions
No submissions yet. Be the first to attempt this problem.