Generators and relations in the special multiplicative group of a weakly perfect ring

DOI10.1007/BF00970356zbMath0724.20032OpenAlexW2068344278MaRDI QIDQ2644771

Zh. S. Satarov

Publication date: 1990

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970356

zbMATH Keywords

relationsgeneratorsmultiplicative groupweakly perfect ring

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Other matrix groups over rings (20H25) Noncommutative local and semilocal rings, perfect rings (16L30) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

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• Defining relations in an elementary triangular group over rings
• Defining relations of the orthogonal group over an ordered Euclidean field
• Über \(n\)-dimensionale Gittertransformationen
• Generators and Relations for the Special Linear Group Over a Division Ring

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