The Determination of Galois Groups

@article{Stauduhar1973TheDO,
  title={The Determination of Galois Groups},
  author={R. Stauduhar},
  journal={Mathematics of Computation},
  year={1973},
  volume={27},
  pages={981-996}
}
  • R. Stauduhar
  • Published 1973
  • Mathematics
  • Mathematics of Computation
A technique is described for the nontentative computer determination of the Galois groups of irreducible polynomials with integer coefficients. The technique for a given polynomial involves finding high-precision approximations to the roots of the poly- nomial, and fixing an ordering for these roots. The roots are then used to create resolvent polynomials of relatively small degree, the linear factors of which determine new orderings for the roots. Sequences of these resolvents isolate the… Expand
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