![]() ![]() ![]() Shafarevich showed me the first edition in autumn 1967 in Moscow and said that this book will be from now on the book about class field theory. Grundlehren der mathematischen Wissenschaften, 144. The Herbrand distribution.- Index of definitions. "Coronidis loco".- Notes to the text.- Appendix I. Local behavior of abelian extensions.- 11. The kernel of the canonical morphism.- 9. Simple algebras over algebraic number-fields.- XII. The zeta-function of a simple algebra.- 3. The representations of a simple algebra.- 3. An application to inseparable extensions.- II. Splitting places in separable extensions.- 6. Fourier transforms and standard functions.- 3. Lattices over algebraic number-fields.- 3. Tensor-products of A-fields and local fields.- IV. Tensor-products of commutative fields.- 3. Multiplicative structure of local fields.- 4. Lattices and duality over local fields.- 1. Classification of locally compact fields.- 4. The module in a locally compact field.- 3. ![]()
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