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# A Note on Automorphism Groups of Algebraic Number Fields

M. Fried
Proceedings of the American Mathematical Society
Vol. 80, No. 3 (Nov., 1980), pp. 386-388
DOI: 10.2307/2043724
Stable URL: http://www.jstor.org/stable/2043724
Page Count: 3
For any finite group $G$ the paper gives an explicit and simple construction of (not necessarily Galois) algebraic extensions of $\mathbf{Q}$ having their full automorphism group equal to $G$.