Computation of the Decomposition Group of a Triangular Ideal

@article{AbdeljaouadTej2004ComputationOT,
  title={Computation of the Decomposition Group of a Triangular Ideal},
  author={I. Abdeljaouad-Tej and S. Orange and G. Renault and A. Valibouze},
  journal={Applicable Algebra in Engineering, Communication and Computing},
  year={2004},
  volume={15},
  pages={279-294}
}
Abstract.This article describes two algorithms in order to search decomposition groups of ideals of polynomials with coefficients in a perfect field when those ideals are generated by a triangular system of generators. 
9 Citations
Homotopy methods for multiplication modulo triangular sets
  • 12
  • Highly Influenced
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  • 8
  • PDF
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  • 2
  • PDF
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  • 21
  • PDF
Multi-modular algorithm for computing the splitting field of a polynomial
  • 7
  • PDF
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  • G. Renault
  • Mathematics, Computer Science
  • ISSAC '06
  • 2006
  • 4
  • PDF
Th\'eorie de Galois effective : aide m\'emoire
  • PDF

References

SHOWING 1-10 OF 13 REFERENCES
Using Galois Ideals for Computing Relative Resolvents
  • 63
Fundamental Algorithms for Permutation Groups
  • G. Butler
  • Mathematics, Computer Science
  • Lecture Notes in Computer Science
  • 1991
  • 152
The Magma Algebra System I: The User Language
  • 5,400
  • PDF
Ideals, Varieties, and Algorithms
  • 2,998
  • PDF
Étude des relations algébriques entre les racines d'un polynôme d'une variable
  • 23
The transitive groups of degree up to eleven
  • 148
Ideals, varieties, and algorithms. Undergraduate Texts in Mathematics An introduction to computational algebraic geometry and commutative algebra
  • Ideals, varieties, and algorithms. Undergraduate Texts in Mathematics An introduction to computational algebraic geometry and commutative algebra
  • 1997
Calcul efficace de corps de décomposition
  • 10
The Magma algebra system
  • I. The user language. J. Symbolic Comput. 24(3–4), 235–265 (1997). Computational algebra and number theory
  • 1993
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