A Galois approach to \(m\)th roots of matrices with rational entries

DOI10.1016/S0024-3795(97)00191-2zbMath0884.15008MaRDI QIDQ1359187

Robert B. Reams

Publication date: 10 March 1998

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

zbMATH Keywords

Galois theorymatrix equations

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Matrix equations and identities (15A24)

Related Items (2)

Solutions of the matrix equation \(p(X)=A\), with polynomial function \(p(\lambda)\) over field extensions of \(\mathbb{Q}\) ⋮ Commutators and powers of infinite unitriangular matrices.

Cites Work

• Extraction of mth roots in matrix rings over fields
• Construction of some wreath products as Galois groups of normal real extensions of the rationals
• On the matrix equation \(f(x)=A\)
• Unnamed Item

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