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We establish conditions on the group $G$, related to the structure of its Borel groups, under which $K$ and $L$ have isomorphic adele rings. Under these conditions, if $K$ or $L$ is a Galois extension of $\\mathbf{Q}$ and $G(\\mathbf{A}_{K,f})$ and $G(\\mathbf{A}_{L,f})$ are isomorphic, then $K$ and $L$ are isomorphic as fields. 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