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objects on the basis of their automorphism groups. For instance, Galois theories of fields, rings, topological spaces, etc., are

A significant result in modern [[transcendence theory]], a generalisation of [[Baker's theorem]] on linear forms in logarithms. ...ic numbers if and only if there is a non-trivial [[analytic subgroup]] $H$ of $G$' defined over a number field such that $H(\mathbb{C})$ is contained in