@article{CM_1990__74_2_157_0, author = {Vaserstein, L. N.}, title = {On normal subgroups of $\mathrm {GL}_2$ over rings with many units}, journal = {Compositio Mathematica}, pages = {157--164}, publisher = {Kluwer Academic Publishers}, volume = {74}, number = {2}, year = {1990}, mrnumber = {1047737}, zbl = {0697.20040}, language = {en}, url = {http://archive.numdam.org/item/CM_1990__74_2_157_0/} }
TY - JOUR AU - Vaserstein, L. N. TI - On normal subgroups of $\mathrm {GL}_2$ over rings with many units JO - Compositio Mathematica PY - 1990 SP - 157 EP - 164 VL - 74 IS - 2 PB - Kluwer Academic Publishers UR - http://archive.numdam.org/item/CM_1990__74_2_157_0/ LA - en ID - CM_1990__74_2_157_0 ER -
Vaserstein, L. N. On normal subgroups of $\mathrm {GL}_2$ over rings with many units. Compositio Mathematica, Tome 74 (1990) no. 2, pp. 157-164. http://archive.numdam.org/item/CM_1990__74_2_157_0/
1 Chevalley groups over local rings, Tôhoku Math. J. 21 (1969), 474-494. | MR | Zbl
,2 The structure of symplectic groups over semilocal rings, Acta Math. Sinica (N.S.) 1:1 (1985), 1-15. | MR | Zbl
and ,3 K-theory and stable algebra, Publ. Math. IHES 22 (1964), 5-60. | Numdam | MR | Zbl
,4 On the normal subgroups of SL(2, A), J. Pure Appl. Alg. 53:3 (1988), 201-227. | MR | Zbl
and ,5 The structure of the symplectic group over semi-local domains, J. Algebra 35 (1975), 457-476. | MR | Zbl
,6 Lineare Gruppen über lokalen Ringen, Amer. J. Math. 83 (1961), 137-153. | MR | Zbl
,7 Die Structur der linearen Gruppe über einen nichtkommutativeen lokalen Ring, Arch. Math. 13 (1962), 73-81. | MR | Zbl
,8 Normal structure of the full linear group over semilocal rings, J. Sov. Math. 19:1 (1982), 998-999. | Zbl
and ,9 Two-dimensional linear groups over local rings, Can. J. Math. 21 (1969),106-135. | MR | Zbl
,10 Sur les sous-groups normaux de SL 2 sur un anneau local, Can. Math. Bull. 26:2 (1983), 209-219. | MR | Zbl
and ,11 Absolute stable rank and Witt cancellation for noncommutative rings, Inv. Math. 91:3 (1988), 525-542. | MR | Zbl
, , and ,12 On GL2 of a local ring in which 2 is not a unit, Can. Math. Bull. 30:2(1987), 165-176. | MR | Zbl
,13 GL2 of rings with many units, Commun. Algebra 8:9 (1980), 869-888. | MR | Zbl
,14 Geometric algebra over local rings, New York-Basel, Marcel Dekker, 1976. | MR | Zbl
,15 On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices, preprint, 20 p. | Zbl
and ,16 Epimorphic extensions of non-commutative rings, Comm. Math. Helv. 18 (1973), 72-86. | MR | Zbl
,17 Subnormal structure of two-dimensional linear groups over local rings, Alg. Logic 22:6 (1983), 707-713. | MR | Zbl
,18 Subnormal structure of two-dimensional linear groups over rings that are close to fields Alg. Logic 24:4 (1985), 414-425. | MR | Zbl
,19 K1-theory and the congruence subgroup problem, Mat. Zametki 5 (1969), 233-244 = Math. Notes 5 (1969), 141-148. | MR | Zbl
,20 Normal subgroups of the general linear groups over von Neumann regular rings, Proc. Amer. Math. Soc. 96:2 (1986), 209-214. | MR | Zbl
,21 Normal subgroups of the general linear groups over Banach algebras, J.P.A. Algebra 41 (1986), 99-112. | MR | Zbl
,22 Subnormal structure of the general linear groups over Banach algebras, J. Pure Appl. Alg., 52 (1988), 187-195. | MR | Zbl
,23 Bass's first stable range condition, J. Pure Appl. Algebra 34:2-3 (1984), 319-330. | MR | Zbl
,24 An answer to the question of M. Newman on matrix completion, Proc. Amer. Math. Soc. 97:2 (1986), 189-196. | MR | Zbl
,25 On stabilization for general linear groups over a ring, Mat. Sbornik 79:3 (1969), 405-424 = Math. USSR Sbornik 8, 383-400. | MR | Zbl
,26 GL2 over full rings, Chin. An. Math. ser. B, 8:4 (1987), 434-439. | MR | Zbl
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