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Literature
D. W. Anderson, Relationship among K-theories, pp. 57–72 of Lecture Notes in Math. no. 341, Springer-Verlag, Berlin and New York, 1973.
D. W. Anderson, M. Karoubi, and J. Wagoner, Relations between higher K-theories, pp. 73–81 of Lecture Notes in Math. no. 341, Springer-Verlag, Berlin and New York, 1973.
H. Bass, Algebraic K-Theory, Benjamin, New York, 1968.
H. Bass and J. Tate, The Milnor ring of a global field, pp. 349–446 of Lecture Notes in Math. no. 342, Springer-Verlag, Berlin and New York, 1973.
R. Fossum, H. B. Foxby, and B. Iversen, A characteristic class in algebraic K-theory, Aarhus University, preprint no. 29 (1978/79).
S. M. Gersten, Higher K-theory of rings, pp. 3–42 of Lecture Notes in Math. no. 341, Springer-Verlag, Berlin and New York, 1973.
M. Karoubi, La périodicité de Bott en K-théorie générale, Ann. Sci. École Norm. Sup. (4) 4 (1971), 63–95.
M. Karoubi and O. Villamayor, Foncteurs Kn en algèbre et en topologie, C. R. Acad. Sci. Paris Sér. A-B 269 (1969), A416–419.
K. Kato, The norm homomorphism of Milnor’s K-group, note passed out at the Oberwolfach K-Theory Conference, appears as §1.7 in "A generalization of local class field theory by using K-groups, II, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 27 (1980), 603–683".
F. Keune, (t2-t)-Reciprocities on the affine line and Matsumoto’s theorem, Invent. Math. 28 (1975), 185–192.
M. I. Krusemeyer, Fundamental groups, algebraic K-theory, and a problem of Abhyankar, Invent. Math. 19 (1973), 15–47.
J. Milnor, Introduction to Algebraic K-Theory, Annals of Math. Studies No. 72, Princeton University Press, Princeton, 1971.
D. Quillen, Higher algebraic K-theory: I, pp. 85–147 of Lecture Notes in Math. no. 341, Springer-Verlag, Berlin and New York, 1973.
M. Raynaud, Modules projectifs univèrsels, Invent. Math. 6 (1968), 1–26.
A. A. Suslin and L. N. Vaserstein, Serre’s problem on projective modules over polynomial rings and algebraic K-theory, Izv. Akad. Nauk SSSR Ser. Mat. 40 (1976), 993–1054 = Math. USSR Izv. 10 (1976), 937–1001.
A. A. Suslin, On the structure of the special linear group over a polynomial ring, Izv. Akad. Nauk SSSR Ser. Math. 41, no. 2, (1977), 235–252 = Math. USSR Izv. 11 (1977), 221–238.
A. A. Suslin, On stably free modules, Mat. Sb. 102 (144), no. 4, (1977), 537–550.
A. A. Suslin, On the cancellation problem for projective modules, preprint LOMI, P-4-77, Leningrad, 1977.
A. A. Suslin, The cancellation problem for projective modules and related topics, pp. 323–338 of Lecture Notes in Math. no. 734, Springer-Verlag, Berlin and New York, 1979.
A. A. Suslin, Reciprocity laws and stable range in polynomial rings, Izv. Akad. Nauk SSSR 43, no. 6, (1979), 1394–1425.
R. G. Swan, A cancellation theorem for projective modules in the metastable range, Invent. Math. 27 (1974), 23–43.
R. G. Swan and J. Towber, A class of projective modules which are nearly free, J. Algebra 36 (1975), 427–434.
L. N. Vaserstein, On the stabilization of the general linear group over a ring, Mat. Sb. 79(121), no. 3, (1969), 405–424 = Math. USSR Sb. 8 (1969), 383–400.
L. N. Vaserstein, Stable rank of rings and dimensionality of topological spaces, Funkcional. Anal. i Priložen. 5 (1971), 17–27 = Functional Anal. Appl. 5 (1971), 102–110.
C. A. Weibel, A survey of products in algebraic K-theory, pp. 494–517 of Lecture Notes in Math. no. 854, Springer-Verlag, Berlin and New York, 1981.
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Suslin, A.A. (1982). Mennicke symbols and their applications in the k-theory of fields. In: Dennis, R.K. (eds) Algebraic K-Theory. Lecture Notes in Mathematics, vol 966. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062182
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