Subnormal structure of the general linear groups over Banach algebras

DOI10.1016/0022-4049(88)90146-6zbMath0653.20050OpenAlexW1969124872WikidataQ126743382 ScholiaQ126743382MaRDI QIDQ1107636

L.N.Vaserstein and E.R.Wheland

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90146-6

zbMATH Keywords

generalized continuum hypothesisquasi-M-projective groups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) General theory of topological algebras (46H05)

Related Items (10)

Subgroups of the general linear group that contain elementary subgroup over a rank 2 commutative ring extension ⋮ Normal subgroups of 𝑆𝐿(2,𝐴) ⋮ On subgroups of \(GL_ 2\) over Banach algebras and von Neumann regular rings which are normalized by elementary matrices ⋮ On subgroups of \(GL_ 2\) over non-commutative local rings which are normalized by elementary matrices ⋮ Linear groups over general rings. I: Generalities. ⋮ The subnormal structure of general linear groups over rings ⋮ On the structure of \(GL_ 2\) over stable range one rings ⋮ Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients] ⋮ Subnormal subgroups of E_n(R) have no free, non-abelian quotients, when n≧3 ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Normal subgroups of the general linear groups over Banach algebras
• Normal Subgroups of the General Linear Groups Over Von Neumann Regular Rings
• The subnormal structure of general linear groups

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