Antoine Poulin

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20212026

most citedOn Certain Probabilistic Properties of Polynomials over the Ring of

p

-adic Integers

3 citations · 5 across the 6 of their papers we have counts for

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math.GR2026

Cost of one-relator groups

Antoine Poulin, Konrad Wróbel

For any infinite one-relator group $Γ = ⟨ S ∣ w^{m} ⟩$ , we prove that $cost (Γ) = ∣ S ∣ - \frac{1}{m}$ . For such groups, this gives $β_{1}^{(2)} (Γ) = cost (Γ) - 1$ ,…

math.GR2025

Exactness and the topology of the space of invariant random equivalence relations

Héctor Jardón-Sánchez, Sam Mellick, Antoine Poulin +1

We characterize exactness of a countable group $Γ$ in terms of invariant random equivalence relations (IREs) on $Γ$ . Specifically, we show that $Γ$ is exact if and only if every we…

math.GR2024

Elasticity of free type III actions of free groups

Antoine Poulin

We prove that measure-class-preserving non-amenable treeable equivalence relations of type III, meaning not preserving any equivalent $σ$ -finite measure, are induced by free action…