The factorization of an integral matrix into a product of two integral symmetric matrices, II. The general case n=2

DOI10.1002/cpa.3160260526zbMath0273.15011OpenAlexW2060794404MaRDI QIDQ5181817

Publication date: 1973

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205218

zbMATH Keywords

integral binary quadratic form addition of scalar matrix factorization of a integral matrix symmetric integral factors

Mathematics Subject Classification ID

Matrices of integers (15B36) Canonical forms, reductions, classification (15A21) Matrices, determinants in number theory (11C20)

Related Items (6)

Factorizations in a semigroup of integral matrices ⋮ Olga Taussky-Todd, 1906-1995 ⋮ Norms from quadratic fields and their relation to noncommuting \(2\times 2\) matrices. III: A link between the 4-rank of ideal class groups in \(Q(\sqrt m)\) and in \(Q(\sqrt{-m})\). ⋮ Determinants of Galois automorphisms of maximal commutative rings of \(2\times 2\) matrices ⋮ Composition of binary integral quadratic forms via integral 2 × 2 matrices and composition of matrix classes ⋮ To the Latimer-Macduffee theorem and beyond!

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