Free quotients of 𝑆𝐿₂(𝑅[𝑥])

DOI10.1090/S0002-9939-97-03809-4zbMath0878.20033OpenAlexW1845258952MaRDI QIDQ4336626

Sava Krstić, James McCool

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03809-4

zbMATH Keywords

elementary matricesintegral domainsfield of fractionsunipotent matricesfree quotients of infinite ranksubgroups of amalgams

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Representation theory for linear algebraic groups (20G05) Other matrix groups over rings (20H25) Groups acting on trees (20E08) Stability for linear groups (19B14)

Related Items (8)

Tensor product decompositions of \(\mathrm{II}_1\) factors arising from extensions of amalgamated free product groups ⋮ Homotopy invariance of non-stable K₁-functors ⋮ On the third homology of 𝑆𝐿₂ and weak homotopy invariance ⋮ On homotopy invariance for homology of rank two groups. ⋮ ON THE AUTOMORPHISM GROUP OF A FREE METABELIAN LIE ALGEBRA ⋮ On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1})\)] ⋮ Nonrational Genus Zero Function Fields and the Bruhat–Tits Tree ⋮ Free quotients of infinite rank of GL₂ over Dedekind domains

Cites Work

• Normal subgroups of \(SL_ 2(k[t)\) with or without free quotients]
• On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x)\) and \(\mathrm{SL}_ 2(k[x,y])\)]
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