Leinster Groups
Conjecture:* Are there infinitely many Leinster groups?
Mathematical statement
Conjecture:* Are there infinitely many Leinster groups?
This asks whether there exist infinitely many (non-isomorphic) finite groups that are Leinster groups.
Formalized via the negation of "Does there exist an n such that all Leinster groups have order less than n".
Statement source: Wikipedia statement material
Statement terms: CC-BY-SA-4.0
Attributed source material. Reuse must follow the linked attribution and share-alike terms.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
infinitely_many_leinster_groups
theorem infinitely_many_leinster_groups : answer(sorry) ↔ ¬∃ n : ℕ, ∀ G : Type, ∀ (_ : Group G) (_ : Fintype G), IsLeinster G → Fintype.card G < n := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References