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Bibliography

AK99
Vincenzo Acciaro and Jürgen Klüners.
Computing Automorphisms of Abelian Number Fields.
Math. Comp., 68(227):1179--1186, 1999.

BDE+
Neil Berry, Arturas Dubickas, Noam Elkies, Bjorn Poonen, and Chris Smyth.
The conjugate dimension of algebraic numbers.
Quart. J. Math., 55:237--252.

dGF07
Willem de Graaf and Claus Fieker.
Finding integral linear dependencies of algebraic numbers and algebraic Lie algebras.
LMS Journal of Computation and Mathematics, 11, 2007.

FK12
C. Fieker and J. Klüners.
Computational Galois Theory I: Invariants and Computations over Q.
submitted, http://arxiv.org/abs/1211.3588, 2012.

Gei03
Katharina Geißler.
Berechnung von Galoisgruppen über Zahl- und Funktionenkörpern.
PhD Thesis, TU-Berlin, 2003.
available at http://www.math.tu-berlin.de/~kant/publications/diss/geissler.pdf.

GK00
Katharina Geißler and Jürgen Klüners.
The determination of Galois Groups.
J. Symbolic Comp., 30(6):653--674, 2000.

Klü95
Jürgen Klüners.
Über die Berechnung von Teilkörpern algebraischer Zahlkörper.
Diplomarbeit, Technische Universität Berlin, 1995.
http://www.math.tu-berlin.de/~kant/publications/diplom/klueners.ps.gz.

Klü97
Jürgen Klüners.
Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper.
Dissertation, Technische Universität Berlin, 1997.
http://www.math.tu-berlin.de/~kant/publications/diss/diss_jk.ps.gz.

Klü98
Jürgen Klüners.
On computing subfields. A detailed description of the algorithm.
J. Theor. Nombres Bordx., 2(10):243--271, 1998.

KP97
Jürgen Klüners and Michael E. Pohst.
On Computing Subfields.
J. Symbolic Comp., 24(3):385--397, 1997.

SM85
Leonhard H. Soicher and John McKay.
Computing Galois Groups over the rationals.
J. Number Th., 20:273--281, 1985.

Sta73
Richard P. Stauduhar.
The determination of Galois Groups.
Math. Comp., 27:981--996, 1973.

vHKN11
M. van Hoeij, J. Klüners, and A. Novocin.
Generating Subfields.
In Anton Leykin, editor, Proceedings ISSAC 2011, 2011.

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