Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 031-01. Open Homomorphisms of Global Solvably Closed Galois Groups
Manuscript map · lines 3015–3024
OpenAI@2026-10-07#rem:oai-p-031-01
Authors: OpenAI. Family 031.
Title: Open Homomorphisms of Global Solvably Closed Galois Groups.
Abstract: We prove Uchida's conjecture on open homomorphisms of Galois groups. Every continuous open homomorphism between Galois groups of solvably closed Galois extensions of number fields is induced by a unique equivariant field embedding in the opposite direction. No restriction on the kernel or additional compatibility hypothesis is required.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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