Cohesive products of fields are constructed and their infinite Galois groups plus hyper-automorphism groups are characterized for large classes of computable Galois extensions.
Shepherdson,Effective procedures in field theory, Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences248(1956), no
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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.