Beschränkte Wortlänge in \(SL_ 2\)

DOI10.1007/BF01162777zbMath0523.20028MaRDI QIDQ584527

Bernhard Liehl

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173461

zbMATH Keywords

elementary matricesnumber of generatorscongruence subgrouparithmetic Dedekind ring

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30)

Related Items

Isotropic nonarchimedean \(S\)-arithmetic groups are not left orderable., THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS, Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields., On a question of M. Newman on the number of commutators, Bounded generation of \(\mathrm{SL}_2\) over rings of \(S\)-integers with infinitely many units, Statistics and compression of scl

Cites Work

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• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Le problème des groupes de congruence pour \(SL_2\)
• Bounded Elementary Generation of SL n (O)
• On the group S L 2 over orders of arithmetic type.
• On the construction of division chains in algebraic number rings,with applications to SL₂
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE