Computation of Galois groups over function fields

نویسندگان

  • Thomas Mattman
  • John McKay
چکیده

Symmetric function theory provides a basis for computing Galois groups which is largely independent of the coefficient ring. An exact algorithm has been implemented over Q(t1, t2, . . . , tm) in Maple for degree up to 8. A table of polynomials realizing each transitive permutation group of degree 8 as a Galois group over the rationals is included.

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عنوان ژورنال:
  • Math. Comput.

دوره 66  شماره 

صفحات  -

تاریخ انتشار 1997