TY - GEN AU - Janusz, Gerald.J TI - Algebraic Number Fields: Second Edition SN - 9780821804292 (HB) PY - 1996/// CY - New York PB - Academic Press KW - Algebraic fields N1 - Subrings of fields Complete fields Decomposition groups and the Artin map Analytic methods Class field theory Application of the general theory to quadratic fields Appendix A. Normal basis theorem and Hilbert's theorem 90 Appendix B. Modules over principal ideal domains Appendix C.Representation of permutation groups and Gauss Sums N2 - This book contains an exposition of the main theorems of the class field theory of algebraic number fields. Familiarity with elementary Galois theory is presupposed. The text uses the structure theorem for finitely generated modules over a principal ideal domain, and the direct approach to the subject by convergence subgroups of the ideal group ER -