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.
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory