Revisiting Poincaré's theorem on presentations of discontinuous groups via fundamental polyhedra

DOI10.1016/j.exmath.2015.01.001zbMath1343.30037arXiv1504.07779OpenAlexW3100242375MaRDI QIDQ900741

Ann Kiefer, Ángel Del Río, Eric Jespers

Publication date: 22 December 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07779

zbMATH Keywords

presentationsfundamental domainKleinian groupsdiscontinuous groups

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

Presentations of groups acting discontinuously on direct products of hyperbolic spaces

Cites Work

• Groups of units of integral group rings commensurable with direct products of free-by-free groups.
• Lectures on hyperbolic geometry
• An exposition of Poincaré's polyhedron theorem
• Sur les polygones générateurs de groupes fuchsiens
• On Poincaré's theorem for fundamental polygons
• Groups of homeomorphisms of a simply connected space
• Yet another Poincaré Polyhedron Theorem
• Foundations of Hyperbolic Manifolds
• Groups of units of integral group rings of Kleinian type
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