A note on automorphism groups of algebraic number fields
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- by M. Fried PDF
- Proc. Amer. Math. Soc. 80 (1980), 386-388 Request permission
Abstract:
For any finite group G the paper gives an explicit and simple construction of (not necessarily Galois) algebraic extensions of Q having their full automorphism group equal to G.References
- Ervin Fried and János Kollár, Automorphism groups of algebraic number fields, Math. Z. 163 (1978), no. 2, 121–123. MR 512465, DOI 10.1007/BF01214058
- Michael Fried, On Hilbert’s irreducibility theorem, J. Number Theory 6 (1974), 211–231. MR 349624, DOI 10.1016/0022-314X(74)90015-8
- R. Frucht, Herstellung von Graphen mit vorgegebener abstrakter Gruppe, Compositio Math. 6 (1939), 239–250 (German). MR 1557026 D. Hilbert, Über die Irreduzibilität ganzer rationaler Functionen, mit ganzzahligen Koeffizienten, Crelles J. Math. 110 (1892), 104-129.
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 386-388
- MSC: Primary 12A55; Secondary 13B10
- DOI: https://doi.org/10.1090/S0002-9939-1980-0580989-8
- MathSciNet review: 580989