@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},
year = {1990},
publisher = {Kluwer Academic Publishers},
volume = {74},
number = {2},
mrnumber = {1047737},
zbl = {0697.20040},
language = {en},
url = {https://www.numdam.org/item/CM_1990__74_2_157_0/}
}
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. https://www.numdam.org/item/CM_1990__74_2_157_0/
1 , Chevalley groups over local rings, Tôhoku Math. J. 21 (1969), 474-494. | Zbl | MR
2 and , The structure of symplectic groups over semilocal rings, Acta Math. Sinica (N.S.) 1:1 (1985), 1-15. | Zbl | MR
3 , K-theory and stable algebra, Publ. Math. IHES 22 (1964), 5-60. | Zbl | MR | Numdam
4 and , On the normal subgroups of SL(2, A), J. Pure Appl. Alg. 53:3 (1988), 201-227. | Zbl | MR
5 , The structure of the symplectic group over semi-local domains, J. Algebra 35 (1975), 457-476. | Zbl | MR
6 , Lineare Gruppen über lokalen Ringen, Amer. J. Math. 83 (1961), 137-153. | Zbl | MR
7 , Die Structur der linearen Gruppe über einen nichtkommutativeen lokalen Ring, Arch. Math. 13 (1962), 73-81. | Zbl | MR
8 and , Normal structure of the full linear group over semilocal rings, J. Sov. Math. 19:1 (1982), 998-999. | Zbl
9 , Two-dimensional linear groups over local rings, Can. J. Math. 21 (1969),106-135. | Zbl | MR
10 and , Sur les sous-groups normaux de SL 2 sur un anneau local, Can. Math. Bull. 26:2 (1983), 209-219. | Zbl | MR
11 , , and , Absolute stable rank and Witt cancellation for noncommutative rings, Inv. Math. 91:3 (1988), 525-542. | Zbl | MR
12 , On GL2 of a local ring in which 2 is not a unit, Can. Math. Bull. 30:2(1987), 165-176. | Zbl | MR
13 , GL2 of rings with many units, Commun. Algebra 8:9 (1980), 869-888. | Zbl | MR
14 , Geometric algebra over local rings, New York-Basel, Marcel Dekker, 1976. | Zbl | MR
15 and , On subgroups of GL2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices, preprint, 20 p. | Zbl
16 , Epimorphic extensions of non-commutative rings, Comm. Math. Helv. 18 (1973), 72-86. | Zbl | MR
17 , Subnormal structure of two-dimensional linear groups over local rings, Alg. Logic 22:6 (1983), 707-713. | Zbl | MR
18 , Subnormal structure of two-dimensional linear groups over rings that are close to fields Alg. Logic 24:4 (1985), 414-425. | Zbl | MR
19 , K1-theory and the congruence subgroup problem, Mat. Zametki 5 (1969), 233-244 = Math. Notes 5 (1969), 141-148. | Zbl | MR
20 , Normal subgroups of the general linear groups over von Neumann regular rings, Proc. Amer. Math. Soc. 96:2 (1986), 209-214. | Zbl | MR
21 , Normal subgroups of the general linear groups over Banach algebras, J.P.A. Algebra 41 (1986), 99-112. | Zbl | MR
22 , Subnormal structure of the general linear groups over Banach algebras, J. Pure Appl. Alg., 52 (1988), 187-195. | Zbl | MR
23 , Bass's first stable range condition, J. Pure Appl. Algebra 34:2-3 (1984), 319-330. | Zbl | MR
24 , An answer to the question of M. Newman on matrix completion, Proc. Amer. Math. Soc. 97:2 (1986), 189-196. | Zbl | MR
25 , On stabilization for general linear groups over a ring, Mat. Sbornik 79:3 (1969), 405-424 = Math. USSR Sbornik 8, 383-400. | Zbl | MR
26 and , GL2 over full rings, Chin. An. Math. ser. B, 8:4 (1987), 434-439. | Zbl | MR





