\(GL^{\pm{}}_ n(R)\) is 5-reflectional

DOI10.1007/BF02950750zbMath0747.20025MaRDI QIDQ1187131

Frieder Knüppel

Publication date: 28 June 1992

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

general linear grouplocal ringstable rangefactorization theoremcommutatorproduct of five involutions

Mathematics Subject Classification ID

Factorization of matrices (15A23) Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25)

Related Items (4)

A comparison of length definitions for maps of modules over local rings ⋮ Products of involutory matrices over rings ⋮ The extended covering number of \(\text{SL}_n\) is \(n+1\). ⋮ Products of Riordan arrays of finite orders

Cites Work

• Commutators and companion matrices over rings of stable rank 1
• SL(V) is 4-reflectional
• Products of involutions
• A factorization theorem for matrices

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