On the field-theoreticity of homomorphisms between the multiplicative groups of number fields

DOI10.4171/PRIMS/133zbMath1297.11135OpenAlexW2146107789MaRDI QIDQ2509468

Yuichiro Hoshi

Publication date: 28 July 2014

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/133

zbMATH Keywords

number fieldsmultiplicative groups of number fields

Mathematics Subject Classification ID

Algebraic numbers; rings of algebraic integers (11R04)

Related Items (2)

Constructing number field isomorphisms from \(*\)-isomorphisms of certain crossed product \(\mathrm{C}^*\)-algebras ⋮ Characterization of global fields by Dirichlet \(L\)-series

Cites Work

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• On the Hom-form of Grothendieck's birational anabelian conjecture in positive characteristic
• A prime-to-\(p\) version of Grothendieck's anabelian conjecture for hyperbolic curves over finite fields of characteristic \(p>0\)
• Isomorphisms of Galois groups
• Isomorphisms of Galois groups of algebraic function fields
• A two-variable Artin conjecture

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