Serre, Jean-Pierre Local fields. (Corps locaux.) (French) Zbl 0137.02601 Publications de l’Institut de Mathématique de l’Université de Nancago. 8; Actualités Scientifiques et Industrielles. 1296. Paris: Hermann & Cie. 243 p. (1962). Reviewer: Helmut Koch (Berlin) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 ReviewsCited in 351 Documents MSC: 11Sxx Algebraic number theory: local fields 11-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to number theory 11-02 Research exposition (monographs, survey articles) pertaining to number theory 14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry 11S31 Class field theory; \(p\)-adic formal groups 20J06 Cohomology of groups 12G05 Galois cohomology Keywords:local fields; local class field theory; Dedekind rings; different; discriminant; ramification groups; cyclotomic fields; Hasse’s norm theory; cohomology of groups; Galois cohomology; Brauer group; class formation Citations:Zbl 0037.30702; Zbl 0118.26104; Zbl 0075.24305; Zbl 0009.04906; Zbl 0063.06925; Zbl 0176.33504 × Cite Format Result Cite Review PDF