Discrete groups of unitary isometries and balls in hyperbolic manifolds

DOI10.1016/0024-3795(95)00259-6zbMath0858.46044OpenAlexW1966765873MaRDI QIDQ1923155

Shmuel Friedland

Publication date: 7 October 1996

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00259-6

zbMATH Keywords

Bieberbach groupscomplete hyperbolic manifoldsdiscrete groups of unitary isometries in \(C^*\) algebrasradii of balls

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (3)

The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$ ⋮ Systole and inradius of noncompact hyperbolic manifolds ⋮ Deciding finiteness for matrix groups over function fields

Cites Work

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• On the holonomy group of locally euclidean spaces
• On linear groups
• Bieberbach groups and flat manifolds
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Jorgensens's inequality for discrete groups in normed algebras
• Covolume estimates for discrete groups of hyperbolic isometries having parabolic elements
• A note on the order of finite subgroups of \(\text{GL}(n,\mathbb{Z})\)
• On the size and structure of finite linear groups
• The norm of a Möbius transformation
• Post-classification version of Jordan's theorem on finite linear groups
• Balls in Hyperbolic Manifolds
• A Generalization of the Shimizu-Leutbecher and Jorgensen Inequalities to Mobius Transformations in R N

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