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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+
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Neil Berry, Arturas Dubickas, Noam Elkies, Bjorn Poonen, and Chris Smyth.
The conjugate dimension of algebraic numbers.
Quart. J. Math., 55:237--252.
- dGF07
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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
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C. Fieker and J. Klüners.
Computational Galois Theory I: Invariants and Computations over Q.
submitted, http://arxiv.org/abs/1211.3588, 2012.
- Gei03
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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
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Katharina Geißler and Jürgen Klüners.
The determination of Galois Groups.
J. Symbolic Comp., 30(6):653--674, 2000.
- Klü95
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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
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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
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Jürgen Klüners.
On computing subfields. A detailed description of the algorithm.
J. Theor. Nombres Bordx., 2(10):243--271, 1998.
- KP97
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Jürgen Klüners and Michael E. Pohst.
On Computing Subfields.
J. Symbolic Comp., 24(3):385--397, 1997.
- SM85
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Leonhard H. Soicher and John McKay.
Computing Galois Groups over the rationals.
J. Number Th., 20:273--281, 1985.
- Sta73
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Richard P. Stauduhar.
The determination of Galois Groups.
Math. Comp., 27:981--996, 1973.
- vHKN11
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M. van Hoeij, J. Klüners, and A. Novocin.
Generating Subfields.
In Anton Leykin, editor, Proceedings ISSAC 2011, 2011.
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