PARABOLIC GROUPS ACTING ON ONE-DIMENSIONAL COMPACT SPACES

DOI10.1142/S0218196705002530zbMath1095.20022arXivmath/0401059OpenAlexW4298035515MaRDI QIDQ3379476

François Dahmani

Publication date: 6 April 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401059

zbMATH Keywords

parabolic subgroupsboundariesSierpiński carpetsrelatively hyperbolic groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Geometric group theory (20F65) Continua and generalizations (54F15) Topological methods in group theory (57M07) Asymptotic properties of groups (20F69) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Quasi-hyperbolic planes in relatively hyperbolic groups ⋮ On groups with \(S^2\) Bowditch boundary

Cites Work

• Boundaries of geometrically finite groups
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Combination of convergence groups.
• Peripheral splittings of groups
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
• Relatively hyperbolic groups
• Hyperbolic manifolds and discrete groups
• Convergence groups are Fuchsian groups

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