Class Field Theory

• Cohomology of Finite Groups.- Local Class Field Theory.- Global Class Field Theory.

From the reviews: "Offer concise treatments of independent frameworks, each fully adequate for establishing the subject's main results. The current work, actually a new English translation of notes from 1969, develops, cleanly and concisely, the purely algebraic cohomological approach invented by C. Chevalley. ... Summing Up: Recommended. Upper-division undergraduates through researchers/faculty." (D. V. Feldman, Choice, Vol. 51 (5), January, 2014) "This manuscript provides the reader a quick and immediate access to class field theory, and for sure it can be suggested as a first introduction to the subject, thanks to the very clearly written proofs and to the accent posed on motivating the results and relating them to the more general context." (Alessandro Cobbe, zbMATH, Vol. 1282, 2014)