On the groups \(\mathrm{SL}_ 2(\mathbb{Z}[x])\) and \(\mathrm{SL}_ 2(k[x,y])\)

DOI10.1007/BF02773676zbMath0805.20042MaRDI QIDQ1327503

Jens Mennicke, L.N.Vaserstein and E.R.Wheland, Fritz J. Grunewald

Publication date: 8 February 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

elementary matricesimaginary quadratic number fieldssymplectic matricesstable rangenormal subgrouphyperelliptic function fieldunipotent matricesfree quotient of any finite rank

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other matrix groups over rings (20H25) Free nonabelian groups (20E05) Linear algebraic groups over adèles and other rings and schemes (20G35) Stability for linear groups (19B14)

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