Symplectic groups over rings of algebraic numbers have finite width over the elementary matrices

DOI10.1007/BF01978846zbMath0603.20043MaRDI QIDQ1082452

K. Kh. Zakir'yanov

Publication date: 1985

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187332

zbMATH Keywords

symplectic grouprings of integerswidthalgebraic number fieldminimal number of elementary matrices

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Linear algebraic groups over global fields and their integers (20G30) Iwasawa theory (11R23) Classical groups (11E57)

Related Items (2)

A Dehn function for Sp(2n, ℤ) ⋮ Ranks of subgroups in boundedly generated groups

Cites Work

• Unnamed Item
• Generating elements and defining relations for symplectic groups over certain rings
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Bounded Elementary Generation of SL n (O)

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