Downloads: 9

Files in This Item:
File Description SizeFormat 
RIMS1955.pdf164.77 kBAdobe PDFView/Open
Title: Homomorphisms of Global Solvably Closed Galois Groups Compatible with Cyclotomic Characters
Authors: HOSHI, Yuichiro
Keywords: 11R32
Galois group
number field
solvably closed
cyclotomic character
Issue Date: Dec-2021
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Start page: 1
End page: 14
Thesis number: RIMS-1955
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.
URI: http://hdl.handle.net/2433/266848
Related Link: http://www.kurims.kyoto-u.ac.jp/preprint/index.html
Appears in Collections:Research Institute for Mathematical Sciences, preprints

Show full item record

Export to RefWorks


Export Format: 


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.