Premium
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.