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References
H. Bass, J. Milnor and J.-P. Serre, Solution of the congruence subgroup problem for SLn (n ≥ 3) and Sp2n (n ≥ 2), Publ. I.H.E.S. No. 33 (1967), 421–499.
P.M. Cohn, On the structure of the GL2 of a ring, Publ. I.H.E.S No. 30 (1966), 5–53.
G. Cooke and P.J. Weinberger, On the construction of division chains in algebraic number rings, with application to SL2, Comm. Algebra 3 (1975), 481–524.
R.K. Dennis and M.R. Stein, K2 of discrete valuation rings, Advances in Math. 18 (1975), 182–238.
M.J. Dunwoody, K2 of a euclidean ring, J. Pure Appl. Algebra 7 (1976), 53–58.
W. van der Kallen, Injective stability for K2, pp. 77–154 of Lecture Notes in Math. 551, Springer Verlag 1976.
W. van der Kallen, Generators and relations in algebraic K-theory, Proceedings International Conference of Mathematicians at Helsinki 1978, 305–310.
B. Liehl, Die Gruppe SL2 über Ordnungen von arithmetischem Typ, thesis, München 1979.
C.S. Queen, Some arithmetic properties of subrings of function fields over finite fields, Archiv der Math. 26 (1975), 51–56.
J.-P. Serre, Le problème des groupes de congruence pour SL2, Annals of Math. (2) 92 (1970), 489–527.
A.A. Suslin, On a theorem of Cohn, in: Rings and Modules, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 64 (1976), 127–130. (Russian).
A.A. Suslin and M.S. Tulenbayev, A Theorem on stabilization for Milnor's K2 functor, in: Rings and Modules, Zap. Naučn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 64 (1976), 131–152. (Russian).
L.N. Vaserstein, On the group SL2 over Dedekind rings of arithmetic type, Mat. Sb. 89 (131) (1972), 313–322 = Math. USSR-Sb. 18 (1972), 321–332.
L.N Vaserstein, The stable range of rings and the dimensionality of topological spaces, Funcional. Anal. i Priložen. 5 (1971), 17–27 = Functional Analysis and its Applications 5 (1971), 102–110.
L.N. Vaserstein and A.A. Suslin, Serre's Problem on Projective modules over polynomial rings, and Algebraic K-theory, Izv. Akad. Nauk SSSR Ser. Mat. Tom 40 (1976) No. 5 = Math. USSR Izvestia Vol. 10 (1976) No. 5, 937–1001.
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van der Kallen, W. (1981). Stability for K2 of Dedekind rings of arithmetic type. In: Friedlander, E.M., Stein, M.R. (eds) Algebraic K-Theory Evanston 1980. Lecture Notes in Mathematics, vol 854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089523
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DOI: https://doi.org/10.1007/BFb0089523
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