Factorization and similarity in \(\text{GL}(2,\mathbb{Z})\)

DOI10.1016/S0024-3795(96)00557-5zbMath0867.20039MaRDI QIDQ5961700

J. P. Henniger

Publication date: 22 April 1997

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

zbMATH Keywords

continued fractionssimilarity problempair of matricesgeneral linear groups over the integersstandard matrices

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Canonical forms, reductions, classification (15A21)

Related Items (3)

Continued fraction approach to Gauss reduction theory ⋮ Orthogonal similarity of a real matrix and its transpose ⋮ Profinite genus of fundamental groups of torus bundles

Cites Work

• When are two elements of \(GL(2,\mathbb{Z}{})\) similar?
• A correspondence between classes of ideals and classes of matrices
• Similarity of automorphisms of the torus
• Homeomorphic conjugacy of automorphisms on the torus
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