Similarity to symmetric matrices over finite fields

DOI10.1006/ffta.1998.0216zbMath0923.15009OpenAlexW2025623739MaRDI QIDQ1273728

Timothy C. Teitloff, Joel V. Brawley

Publication date: 31 October 1999

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1998.0216

zbMATH Keywords

finite fieldsymmetric matrixelementary divisorsimilarity of matricesminimum polynomial

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Polynomials over finite fields (11T06) Polynomials over commutative rings (13B25) Canonical forms, reductions, classification (15A21)

Related Items

The involution width of finite simple groups ⋮ Hypermaps over non-abelian simple groups and strongly symmetric generating sets ⋮ Cyclic mutually unbiased bases, Fibonacci polynomials and Wiedemann's conjecture

Cites Work

• Eigenwerte und Minimalpolynome symmetrischer Matrizen in kommutativen Körpern
• Classes of matrices over an integral domain
• The dimensions of symmetric matrices with a given minimum polynomial
• Similarity to symmetric matrices over fields which are not formally real
• Symmetric and Alternate Matrices in An Arbitrary Field, I
• Unnamed Item
• Unnamed Item
• Unnamed Item