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|RIMS1955.pdf||164.77 kB||Adobe PDF||View/Open|
|Title:||Homomorphisms of Global Solvably Closed Galois Groups Compatible with Cyclotomic Characters|
|Publisher:||Research Institute for Mathematical Sciences, Kyoto University|
|Abstract:||In the present paper, we study a continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields. We prove that a continuous open homomorphism between the Galois groups of solvably closed Galois extensions of number fields arises from a homomorphism between the given solvably closed Galois extensions if, and only if, the continuous open homomorphism is compatible with the cyclotomic characters.|
|Appears in Collections:||Research Institute for Mathematical Sciences, preprints|
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