When are two elements of \(GL(2,\mathbb{Z}{})\) similar?

DOI10.1016/0024-3795(91)90112-AzbMath0743.20047MaRDI QIDQ1177253

James T. Campbell, Elizabeth C. Trouy

Publication date: 26 June 1992

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

zbMATH Keywords

algorithmconjugacymodular grouppair of matricesfree product

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Other matrix groups over rings (20H25) Matrices of integers (15B36) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (4)

Continued fraction approach to Gauss reduction theory ⋮ Factorization and similarity in \(\text{GL}(2,\mathbb{Z})\) ⋮ Profinite genus of fundamental groups of torus bundles ⋮ All 4-dimensional infra-solvmanifolds are boundaries

Cites Work

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• Recursive unsolvability of group theoretic problems
• A correspondence between classes of ideals and classes of matrices
• Presentations of some classical groups
• Similarity of automorphisms of the torus
• Homeomorphic conjugacy of automorphisms on the torus

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