Cohesive products of fields are constructed and their infinite Galois groups plus hyper-automorphism groups are characterized for large classes of computable Galois extensions.
McLaughlin,Some extension and rearrangement theorems for Nerode semirings, Zeitschrift f¨ ur Mathematische Logik und Grundlagen der Mathematik35(1989), 197–209
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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.