Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman

DOI10.1016/j.laa.2010.11.038zbMath1217.15003OpenAlexW2103909469MaRDI QIDQ627960

Rachel Quinlan

Publication date: 4 March 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.11.038

zbMATH Keywords

dimensionnon-zero eigenvaluespace of linear endomorphisms

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Automorphisms of abstract finite groups (20D45) Linear transformations, semilinear transformations (15A04)

Related Items (9)

The structured Gerstenhaber problem. III. ⋮ The structured Gerstenhaber problem. I. ⋮ Nonsingular ACI-matrices over integral domains ⋮ Large affine spaces of matrices with rank bounded below ⋮ Spaces of matrices with few eigenvalues ⋮ Primitive spaces of matrices with upper rank two over the field with two elements ⋮ Partial matrices whose completions have ranks bounded below ⋮ Large affine spaces of non-singular matrices ⋮ Spaces of matrices with a sole eigenvalue

Cites Work

• Linear spaces of nilpotent matrices
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• 𝑛-inner automorphisms of finite groups

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