TY - JOUR
T1 - Subnormal structure of the general linear groups over Banach algebras
AU - Vaserstein, Leonid N.
PY - 1988/5
Y1 - 1988/5
N2 - Let GLnA be the group of invertible matrices over a ring A and EnA the subgroup generated by elementary matrices. In previous papers, the author described all subgroups of GLnA, n≥3, normalized by EnA for a few classes of rings A including all Banach algebras A with 1 (in the case n=2, the situation is more complicated). The present paper extends this to a wider class of rings. However, the main goal is to give a complete description of all subnormal subgroups of EnA for this class of rings including all Banach algebras A with 1.
AB - Let GLnA be the group of invertible matrices over a ring A and EnA the subgroup generated by elementary matrices. In previous papers, the author described all subgroups of GLnA, n≥3, normalized by EnA for a few classes of rings A including all Banach algebras A with 1 (in the case n=2, the situation is more complicated). The present paper extends this to a wider class of rings. However, the main goal is to give a complete description of all subnormal subgroups of EnA for this class of rings including all Banach algebras A with 1.
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U2 - 10.1016/0022-4049(88)90146-6
DO - 10.1016/0022-4049(88)90146-6
M3 - Article
AN - SCOPUS:45449122645
SN - 0022-4049
VL - 52
SP - 187
EP - 195
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 1-2
ER -