A non-quantitative version of the Freiman–Ruzsa theorem is obtained for finite stable sets with small tripling in arbitrary groups, as well as for (finite) weakly normal subsets in abelian groups.

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关于 Freiman-Ruzsa 定理的模型理论说明

Freiman-Ruzsa 定理的非定量版本可用于任意群中具有小三倍的有限稳定集，以及阿贝尔群中的（有限）弱正态子集。