Solution of the congruence subgroup problem for $S{L}_n(n\ge 3)$ and $S{p}_{2n}(n\ge 2)$

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1. [1] BASS (H.), K-theory and stable algebra, Publ. I.H.E.S., n° 22 (1964), 5-60. Zbl0248.18025MR30 #4805
2. [2] BASS (H.), Symplectic modules and groups (in preparation). 
3. [3] BASS (H.), HELLER (A.) and SWAN (R.), The Whitehead group of a polynomial extension, Publ. I.H.E.S., n° 22 (1964), 61-79. Zbl0248.18026MR30 #4806
4. [4] BASS (H.), LAZARD (M.) and SERRE (J.-P.), Sous-groupes d'indice fini dans SL(n, Z), Bull. Am. Math. Soc., 385-392. Zbl0232.20086MR28 #5117
5. [5] BASS (H.) and MILNOR (J.), Unimodular groups over number fields (mimeo. notes), Princeton University (1965). 
6. [6] BASS (H.) and MILNOR (J.), On the congruence subgroup problem for SLn(n≥3) and Sp2n(n≥2). (Notes, Inst. for Adv. Study.) 
7. [7] BASS (H.) and MURTHY (M. P.), Grothendieck groups and Picard groups of abelian group rings, Ann. of Math., 86 (1967), 16-73. Zbl0157.08202MR36 #2671
8. [8] BOREL (A.) and HARISH-CHANDRA, Arithmetic subgroups of algebraic groups, Ann. of Math., 75 (1962), 485-535. Zbl0107.14804MR26 #5081
9. [9] BOREL (A.) and TITS (J.), Groupes réductifs, Publ. I.H.E.S., n° 27 (1965), 55-151. Zbl0145.17402MR34 #7527
10. [10] CHEVALLEY (C.), Sur certains schémas de groupes semi-simples, Sém. Bourbaki (1961), exposé 219. Zbl0125.01705
11. [11] HIGMAN (G.), On the units of group rings, Proc. Lond. Math. Soc., 46 (1940), 231-248. Zbl0025.24302MR2,5bJFM66.0104.04
12. [12] HURWITZ (A.), Die unimodularen Substitutionen in einem algebraischen Zahlkörpen (1895), Mathematische Werke, vol. 2, 244-268, Basel (1933). 
13. [13] KNESER (M.), Strong approximation, I, II, Algebraic groups and discontinuous subgroups, Proc. Symp. Pure Math., IX, A.M.S., 1966, p. 187-196. Zbl0201.37904MR35 #4225
14. [14] KUBOTA (T.), Ein arithmetischer Satz über eine Matrizengrouppe, J. reine angew. Math., 222 (1965), 55-57. Zbl0149.28602MR32 #5633
15. [15] MATSUMOTO (H.), Subgroups of finite index of arithmetic groups. Algebraic groups and Discontinuous Subgroups, Proc. Symp. Pure Math., IX, A.M.S., 1966, p. 99-103. Zbl0178.35302MR34 #4373
16. [16] MENNICKE (J.), Finite factor groups of the unimodular group, Ann. of Math., 81 (1965), 31-37. Zbl0135.06504MR30 #2083
17. [17] MENNICKE (J.), Zur theorie der Siegelsche Modulgruppe, Math. Ann., 159 (1965), 115-129. Zbl0134.26502MR31 #5903
18. [18] MILNOR (J.), Whitehead torsion, Bull. Am. Math. Soc., 7 (1966), 358-426. Zbl0147.23104MR33 #4922
19. [19] MOORE (C.), Extensions and low dimensional cohomology of locally compact groups, I, Trans. Am. Math. Soc., 113 (1964), 40-63. Zbl0131.26902MR30 #2106
20. [20] O'MEARA (O. T.), On the finite generation of linear groups over Hasse domains, J. reine angew. Math., 217 (1963). Zbl0128.25502MR31 #3513
21. [21] RAGHUNATHAN (M. S.), A vanishing theorem for the cohomology of arithmetic subgroups of algebraic groups (to appear). 
22. [22] REGE (N.), Finite generation of classical groups over Hasse domains (to appear). Zbl0157.06201
23. [23] LAZARD (M.), Groupes analytiques p-adiques, Publ. I.H.E.S., n° 26 (1965), 5-219. Zbl0139.02302MR35 #188
24. [24] WEIL (A.), Remarks on the cohomology of groups, Ann. of Math., 80 (1964), 149-157. Zbl0192.12802MR30 #199
25. [25] WEIL (A.), Sur certains groupes d'opérateurs unitaires, Acta Math., III (1964), 143-211. Zbl0203.03305MR29 #2324

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