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Bass, H.:K 2 of global fields. AMS taped lecture, Cambridge, Mass., Oct. 1969
Bass, H.:K 2 des corps, globaux. Seminaire Bourbaki, no. 394, Juin 1971
Bass, H., Tate, J.: The Milnor ring of a global field. In: AlgebraicK-Theory II. Lecture Notes in Math. no. 342. Berlin-Heidelberg-New York: Springer 1973
Candiotti, A.: Computations of Iwasawa invariants andK 2. Compositio Math.29, 89–111 (1974)
Candiotti, A., Kramer, K.: OnK 2 and Z1-extensions of number fields (preprint)
Carroll, J.: On a relationship between the 2-primary part of the tame kernel and Z2-extensions for complex quadratic fields (preprint)
Cassels, J.W.S., Fröhlich, A.: Algebraic number theory. London-New York: Academic Press 1967
Chase, S.U., Waterhouse, W.C.: Moore's theorem on uniqueness of reciprocity laws. Inventiones math.16, 267–270 (1972)
Coates, J.: OnK 2 and some classical conjectures in algebraic number theory. Annals of Math.95, 99–116 (1972)
Coates, J., Lichtenbaum, S.: Onl-adic zeta functions. Annals of Math.98, 498–550 (1973)
Elman, R., Lam, T.Y.: On the quaternion symbol homomorphism gf:k 2 F→B(F). In: AlgebraicK-theory II. Lecture Notes in Math.342, 447–463 (1973) Berlin-Heidelberg-New York: Springer 1973
Garland, H.: A finiteness theorem forK 2 of a number field. Annals of Math.94, 534–548 (1971)
Iwasawa, K.: OnZ 1 -extensions of algebraic number fields. Annals of Math.98, 246–326 (1973)
Lichtenbaum, S.: On the values of zeta andL-functions: I Annals of Math.96, 338–360 (1972)
Lichtenbaum, S.: Values of zeta-functions, étale cohomology, and algebraicK-theory In: AlgebraicK-theory II. Lecture Notes in Math.342, 489–501. Berlin-Heidelberg-New York: Springer 1973
Milnor, J.: AlgebraicK-theory and quadratic forms. Inventiones math9, 318–344 (1970)
Milnor, J.: Introduction to algebraicK-theory. Annals of Math. Study 72. Princeton: Princeton University Press 1971
Moore, C.: Group extensions ofp-adic and adelic linear groups. Publ. Math. I.H.E.S.,35, 5–74, (1969)
Quillen, D.: Higher algebraicK-theory I. In: AlgebraicK-Theory I. Lecture Notes in Math.341, 85–147. Berlin-Heidelberg-New York: Springer 1973
Quillen, D.: Finite generation of the groupsK i of algebraic integers. In: AlgebraicK-theory I. Lecture Notes in Math.341, 179–198, Berlin-Heidelberg-New York: Springer
Serre, J.-P.: Corps locaux, 2d Éd. Paris: Hermann 1968
Serre, J.-P.: Cohomologie Galoisienne. Lecture Notes in Math.5, Berlin-Heidelberg-New York: Springer 1964
Serre, J.-P.: A Course in arithmetic. Graduate Text in Math.7 (Cours d'Arithmetique), Paris: Press. Univ. de France. 1970). Berlin-Heidelberg-New York: Springer 1973
Tate, J.: Symbols in arithmetic. Actes. Congrès intern. math. 1970, Tome 1, p. 201 a 211.
Tate, J.: Letter to Iwasawa. In: AlgebraicK-theory II. Lecture Notes in Math.342, 524–527 Berlin-Heidelberg-New York: Springer 1973
Weil, A.: Basic number theory. Berlin-Heidelberg-New York: Springer 1973
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Tate, J. Relations between K2 and Galois cohomology. Invent Math 36, 257–274 (1976). https://doi.org/10.1007/BF01390012
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DOI: https://doi.org/10.1007/BF01390012