Commensurability of co-compact three-dimensional hyperbolic groups

DOI10.1215/S0012-7094-83-05054-8zbMath0588.22009MaRDI QIDQ1073194

A. M. Macbeath

Publication date: 1983

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

trace fieldsnumber of commensurability classesthree-dimensional co-compact hyperbolic isometry groups

Mathematics Subject Classification ID

Related Items (8)

Erratum: ``Commensurability of co-compact three-dimensional hyperbolic manifolds ⋮ Counting and effective rigidity in algebra and geometry ⋮ Totally geodesic surfaces in hyperbolic 3-manifolds ⋮ Locally symmetric spaces and \(K\)-theory of number fields ⋮ Bloch invariants of hyperbolic \(3\)-manifolds ⋮ The arithmetic structure of tetrahedral groups of hyperbolic isometries ⋮ Amalgamation and the invariant trace field of a Kleinian group ⋮ Computing Arithmetic Invariants of 3-Manifolds

Cites Work

• Compact 3-manifolds of constant negative curvature fibering over the circle
• On discrete subgroups of Lie groups. I, II
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)
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