Cohesive products of fields are constructed and their infinite Galois groups plus hyper-automorphism groups are characterized for large classes of computable Galois extensions.
Ash and Julia Knight,Computable Structures and the Hyperarithmetical Hierarchy, Studies in Logic and the Foundations of Mathematics, vol
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On Cohesive Products of Fields
Cohesive products of fields are constructed and their infinite Galois groups plus hyper-automorphism groups are characterized for large classes of computable Galois extensions.