On the torsion of the group \(O(n,1;\mathbb Z)\) of integral Lorentzian \((n+1)\times(n+1)\) matrices

DOI10.1016/S0022-4049(98)00149-2zbMath0926.11024OpenAlexW2086362000MaRDI QIDQ1295709

John G. Ratcliffe, Steven T. Tschantz

Publication date: 16 August 1999

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00149-2

zbMATH Keywords

orthogonal groupCoxeter groupmaximal order\(p\)-subgroupLorentzian matrix

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Discrete subgroups of Lie groups (22E40) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Classical groups (11E57) Matrices of integers (15B36)

Related Items (2)

Finite subgroups of arithmetic lattices in \(U (2,1)\) ⋮ Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel

Cites Work

• Automorphism groups of Lorentzian lattices
• Über die analytische Theorie der quadratischen Formen. II
• Two theorems on matrices
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the torsion of the group \(O(n,1;\mathbb Z)\) of integral Lorentzian \((n+1)\times(n+1)\) matrices