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import FormalConjecturesUtilBounded Burnside problem
namespace BoundedBurnsideProblem
Let $G$ be a finitely generated group, and assume there exists $n$ such that for every $g$ in $G$, $g^n = 1$. Is $G$ necessarily finite?
@[category research open, AMS 20]
theorem bounded_burnside_problem :
answer(sorry) ↔ ∀ (G : Type) [Group G] (fin_gen : Group.FG G)
(n : ℕ) (hn : n > 0) (bounded : ∀ g : G, g^n = 1), Finite G := ⊢ True ↔ ∀ (G : Type) [inst : Group G], Group.FG G → ∀ n > 0, (∀ (g : G), g ^ n = 1) → Finite G
All goals completed! 🐙
end BoundedBurnsideProblem