Abstract
AbstractLet K be a number field and S a set of primes of K. We write for the maximal extension of K unramified outside S and for its Galois group. In this paper, we answer the following question under some assumptions: “For , let be a number field, a (sufficiently large) set of primes of and an isomorphism. Is σ induced by a unique isomorphism between and ?” Here, the main assumption is about the Dirichlet density of .
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