Regulators and Galois Stability | Zendy

Ritter Jürgen | Zendy; Weiss Alfred | Zendy

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Regulators and Galois Stability

Author(s) -

Ritter Jürgen,

Weiss Alfred

Publication year - 1992

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19921580103

Subject(s) - mathematics , homomorphism , galois module , element (criminal law) , galois group , galois cohomology , pure mathematics , character (mathematics) , embedding problem , genus , ring (chemistry) , splitting of prime ideals in galois extensions , differential galois theory , discrete mathematics , law , botany , geometry , chemistry , organic chemistry , political science , biology

Thanks to the existence of Galois stable orders the Fröhlich regulator associated to two lattices X and Y that are linked by a bilinear form determines a Galois homomorphism ρ from some character ring into the ideals of the corresponding field of definition. In this paper it will be shown that whenever the deviation between X and Y can be measured by an element of a certain genus class group the homomorphism ρ turns out to be a representing Galois homomorphism of that element.

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