Geometry & Topology Monographs 3 (2000) - Invitation to higher local fields, Part II, section 10, pages 299-304

Galois modules and class field theory

B. Erez

Abstract. 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.

E-print: arXiv:math.NT/0012160

Boas Erez
Department of mathematics, University of Bordeaux, 351 Cours de la Liberation, 33405 Talence Cedex, France

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