References
Abe, E.: Chevalley groups over local rings. Tôhoku Math. J.21, 474–494 (1969)
Bass, H.:K-theory and stable algebra. Publ. Math. IHES22, 5–60 (1964)
Costa, D.L., Keller, G.E.: On the normal subgroups ofSL(2, A). J. Pure Appl. Alg.53, 201–227 (1988)
Dieudonné, J.: La géometrie des groupes classiques. 3nd ed. Springer Berlin Heidelberg New York: 1971
Dickson, L.E.: Theory of linear groups in arbitrary fields. Trans. Am. Math. Soc.2, 363–394 (1901)
Klingenberg, W.: Lineare Gruppen über lokalen Ringen. Am. J. Math.83, 137–153 (1961)
Klingenberg, W.: Die Structur der linearen Gruppen über einen nichtkommutativen lokalen Ring, Arch. Math.13, 73–81 (1962)
Kolotilina, L.Yu, Vavilov, N.A.: Normal structure of the full linear group over a semilocal ring. J. Sov. Math.19, 998–999 (1982)
Lacroix, N.H.J.: Two-dimensional linear groups over local rings. Can. J. Math.21, 106–135 (1969)
Lacroix, N.H.J., LeVesque, C.: Sur les sous-groupes normaux deSL 2 sur un anneau local. Can. Math. Bull.26, 209–219 (1983)
Mason, A.W.: OnGL 2 of of a local ring in which 2 is not a unit. Can. Math. Bull.30, 165–176 (1987)
Mason, A.W.: OnGL 2 of a local ring in which 2 is not a unit. II. Comm. Algebra17, 511–551 (1989)
Menal, P., Vaserstein, L.N.: On subgroups ofGL 2 over Banach algebras and von Neumann regular rings which are normalized by elementary matrices. 20 pp.
McDonald, B.R.: Geometric algebra over local rings. New York Basel: Dekker (1983)
Tazhetdinov, S.: Subnormal structure of two-dimensional linear groups over local rings. Algebra Logic22, 707–713 (1983)
Vaserstein, L.N.:K 1-theory and the congruence subgroup problem. Math. Notes5, 141–148 (1969)
Vaserstein, L.N.: Subnormal structure of the general linear groups over Banach algebras. J. Pure Appl.52, 187–195 (1988)
Vaserstein, L.N.: Normal subgroups of orthogonal groups over commutative rings. Am. J. Math. (to appear)
Vaserstein, L.N.: Normal subgroups of symplectic groups. Preprint
Vaserstein, L.N.: Normal subgroups of gauge groups. Am. Math. Soc. Cont. Math.82, 199–220 (1989)
Vaserstein, L.N.: On normal subgroupsGL 2 over rings with many units. Preprint
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During this research, the authors were supported in part by CICYT and NSF
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Menal, P., Vaserstein, L.N. On subgroups ofGL 2 over non-commutative local rings which are normalized by elementary matrices. Math. Ann. 285, 221–231 (1989). https://doi.org/10.1007/BF01443515
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DOI: https://doi.org/10.1007/BF01443515