Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: 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(t 1 , t 2 ;...,t m ) 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.
['Thomas W. Mattman', 'John McKay']
I am writing a research paper on a idea Computation of Galois groups over function fields
[{"from": "human", "value": "I am writing a research paper on a idea Computation of Galois groups over function fields"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: 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(t 1 , t 2 ;...,t m ) 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."}]