Geometry & Topology Monographs 3 (2000) -
Invitation to higher local fields,
Part II, section 10, pages 299-304
Galois modules and class field theory
This is a concise
survey of links between
Galois module theory and class field theory (CFT).
It explores various uses of CFT
in Galois module theory, it comments on the absence of CFT
in contexts where it might be expected to play a role
and indicates some lines of research that might bring CFT
to play a more prominent role in Galois module theory.
Keywords. Galois module theory.
AMS subject classification. 11R99, 11S99.
Department of mathematics, University of Bordeaux,
351 Cours de la Liberation, 33405 Talence Cedex, France
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