The Group Generated by Unipotent Operators

DOI10.2307/2046236zbMath0599.47062OpenAlexW4234892080MaRDI QIDQ3733596

Ahmed Ramzi Sourour, Che-Kao Fong

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046236

zbMATH Keywords

nilpotent matricescyclic vectoroperator matrixgroup generated by unipotent operatorsunipotent operator of order two

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Structure theory of linear operators (47A65) Algebraic systems of matrices (15A30)

Related Items

Products of cyclic similarity classes in the groups \(\text{GL}_n(F)\) ⋮ Powers of 1-cyclic conjugacy classes in the groups GL\(_ n(F)\) and SL\(_ n(F)\) ⋮ Sums and products of two quadratic matrices ⋮ Unnamed Item ⋮ The operator factorization problems ⋮ Product of invertible operators of quadratic type ⋮ Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices ⋮ Unnamed Item ⋮ Products of unipotent elements in certain algebras ⋮ Products of unipotent matrices of index 2 ⋮ Products of cyclic conjugacy classes in the groups \(\text{PSL}(n,F)\) ⋮ Products of two unipotent matrices of index 2 ⋮ Sums of commuting square-zero transformations ⋮ Commutators and companion matrices over rings of stable rank 1

Cites Work

• Structure of commutators of operators
• On models for linear operators
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