Implementing the Round Four maximal order algorithm
Journal de Théorie des Nombres de Bordeaux, Volume 6 (1994) no. 1, pp. 39-80. 
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David Ford; Pascal Letard. Implementing the Round Four maximal order algorithm. Journal de Théorie des Nombres de Bordeaux, Volume 6 (1994) no. 1, pp. 39-80. doi : 10.5802/jtnb.105. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.105/

1 A. Ash, R. Pinch, R. Taylor, An Â4 extension of Q attached to a non-selfdual autormorphic form on GL(3), Mathennatische Annalen 291 (1991), 753-766. | MR: 1135542 | Zbl: 0713.11036

2 R. Böffgen, Der Algorithmus von Ford/Zassenhaus zur Benechnung von Genzheitsbasen. in Polynomalgebren, Annales Universitatis Saraviensis, Series Mathematicae 1 (1987), no. 3, 60-129. | MR: 880225 | Zbl: 0613.12011

3 R. Böffgen, M.A. Reichert, Computing the Decomposition of Primes p and p-adic Absolute Values in Semi-simple Algebras over Q, Journal of Symbolic Computation 4 (1987), 3-10. | MR: 908407 | Zbl: 0624.12001

4 R.J. Bradford, On the Computation of Iritegnal Bases and Defects of Integrity, PhD Dissertation, University of Bath, 1988.

5 B.W. Char, K.O. Geddes, G.H. Gonnet, B.L. Leong, M.B. Monagan, S.M. Watt, Maple V Language Reference Manual, Springer-Verlag, New York, 1991. | Zbl: 0758.68038

6 H. Cohen, A Course in Computational Algebraic Number Theory, Springer-Verlag, New York, 1993. | MR: 1228206 | Zbl: 0786.11071

7 D. Ford, On the Computation of the Maximal Order in a Dedekind Domain, PhD Dissertation, Ohio State University, 1978.

8 D. Ford, The Construction of Maximal Orders over a Dedekind Domain, Journal of Symbolic Computation 4 (1987), 69-75. | MR: 908413 | Zbl: 0632.13003

9 M. Pohst, H. Zassenhaus, Algorithmic Algebraic Number Theory, Cambridge University Press, Cambridge, 1989. | MR: 1033013 | Zbl: 0685.12001

10 O. Zariski, P. Samuel, Commutative Algebra, Vol I, Van Nostrand, Princeton, New Jersey, 1958. | MR: 90581 | Zbl: 0081.26501

11 H. Zassenhaus, On Hensel Factorization II, Symposia Mathematica. XV (1975), Academic Press, London, 499-513. | MR: 389870 | Zbl: 0337.12014

12 H. Zimmer, Computational Problems, Methods and Results in Algebraic Number Theory, Lecture Notes in Mathematics 262, Springer-Verlag, 1972. | MR: 323751 | Zbl: 0231.12001

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