Every continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields is induced by a unique equivariant field embedding in the opposite direction, without a kernel restriction.
Every continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields is induced by a unique equivariant field embedding in the opposite direction, without a kernel restriction.
Every continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields is induced by a unique equivariant field embedding in the opposite direction, without a kernel restriction.
If correct, proves Uchida’s full open-homomorphism conjecture for these global Galois groups.
Does every continuous open homomorphism of the stated global Galois groups come from a field embedding?
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