The subnormal structure of general linear groups over rings
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Publication:3496409
DOI10.1017/S0305004100069097zbMath0711.20030MaRDI QIDQ3496409
L.N.Vaserstein and E.R.Wheland
Publication date: 1990
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Linear algebraic groups over adèles and other rings and schemes (20G35) Stable range conditions (19B10)
Related Items
The subnormal structure of classical-like groups over commutative rings, Subnormal structure of non-stable unitary groups over rings., Bak's work on theK-theory of rings, The commutators of classical groups, Linear groups over general rings. I: Generalities., A classification of subgroups of odd unitary groups, Subgroups of classical groups normalized by relative elementary groups., Relative commutator calculus in Chevalley groups., The structure of quadratic groups over commutative rings., Toward the reverse decomposition of unipotents. II: The relative case, Subnormal structure of classical groups over Banach algebra., The yoga of commutators: further applications., The yoga of commutators., Towards the reverse decomposition of unipotents, Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian, Basic reductions in the description of normal subgroups.
Cites Work
- Normal subgroups of the general linear groups over Banach algebras
- A generalized sandwich theorem
- Subnormal structure of the general linear groups over Banach algebras
- On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices
- Automorphismengruppen freier Moduln von unendlichem Rang. (Automorphism groups of free modules of infinite rank)
- \(K\)-theory and stable algebra
- Normal Subgroups of the General Linear Groups Over Von Neumann Regular Rings
