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Local class field theory is easy. (English) Zbl 0312.12022

MSC:
11S31Class field theory for local fields; $p$-adic formal groups
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References:
[1] Dwork, B.: Norm residue symbol in local number fields. Abh. math. Sem. Hamburg 22, 180-190 (1958) · Zbl 0083.26001
[2] Jr., M. Hall: Theory of groups. (1959)
[3] Hasse, H.: Vorlesungen über klassenkörpertheorie. (1967) · Zbl 0148.28005
[4] Hazewinkel, M.: Maximal abelian extensions of local fields. Thesis (1969) · Zbl 0193.35001
[5] Hazewinkel, M.: Corps de classes local. Groupes algébriques 1 (1970)
[6] Lang, S.: Algebraic groups over finite fields. Amer. J. Math. 78, 555-563 (1956) · Zbl 0073.37901
[7] Lubin, J.; Tate, J.: Formal complex multiplication in local fields. Ann. math. 81, 380-387 (1965) · Zbl 0128.26501
[8] Serre, J. P.: Corps locaux. (1962) · Zbl 0137.02501
[9] Weiss, E.: Algebraic number theory. (1963) · Zbl 0115.03601