000 01146 a2200193 4500
008 230531b |||||||| |||| 00| 0 eng d
020 _a9780821804292 (HB)
041 _aeng
080 _a512.7
_bJAN
100 _aJanusz, Gerald.J
245 _aAlgebraic Number Fields
_bSecond Edition
260 _bAcademic Press
_c1996
_aNew York
300 _ax, 276p
505 _aSubrings 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
520 _aThis 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
650 _aAlgebraic fields
690 _aMathematics
942 _cBK
_01
999 _c52366
_d52366