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math.NT2025
Open Homomorphisms between -step Solvable Galois Groups Compatible with the Cyclotomic Characters
Yu Mao, Mohamed Saidi
In \cite{Ho3}, Hoshi proved that open homomorphisms between solvably closed Galois groups of number fields which are compatible with the cyclotomic characters arise from field embe…
math.NT2025
The m-step Solvable Mono-anabelian Geometry of Number Fields
Yu Mao, Mohamed Saidi
The goal of this paper is to develop a group-theoretic algorithm, to reconstruct a number field (together with its maximal m-step solvable ex- tension for some positive integer m \…