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  • Thesis

  • Authors: Jiang, Yongbin (2006)

  • In algebraic number theory, the study of Galois groups is one of the subjects mathematicians are most interested in. A fruitful set of results have been obtained in this field. Class field theory and some of its consequent theorems are certainly an important part of these results. In [1], E.Artin and Tate used the notion of class formations to reinterpret class field theory and proposed another interesting object, which is called the Weil group and has a strong relation with class formations, for us to study. Recently, research shows that Weil groups deserve more investigation and they behave better than the classical Galois groups in some cases. Lichtenbaum's paper [11] showed us ev...