The congruence of a matrix with its transpose

DOI10.1007/BF03323020zbMath1072.15014OpenAlexW2019400923MaRDI QIDQ1781915

Graham D. Williams

Publication date: 9 June 2005

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323020

zbMATH Keywords

bilinear formsringscongruencetransposeantiautomorphism

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Canonical forms, reductions, classification (15A21)

Cites Work

• Zur Klassifikation von Bilinearformen und von Isometrien über Körpern
• Congruence and conjunctivity of matrices to their adjoints
• The number of congruence classes in \(M_ n(\mathbb{F}_ q)\)
• Projective congruence in \(M_3(\mathbb{F}_q)\).
• Rings of order \(p^5\). I: Nonlocal rings
• Rings of order \(p^5\). II: Local rings
• On a class of finite rings of characteristic \(p^2\)
• Appendix: Degenerate bilinear forms
• The equivalence of bilinear forms
• A square matrix is congruent to its transpose
• Classification of not commutative rings with identity of order dividing \(p^ 4\)
• The equivalence of an invertible matrix to its transpose
• Bilinear forms over an algebraically closed field
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