Rank gradient in co-final towers of certain Kleinian groups

DOI10.4171/GGD/220zbMath1293.57002arXiv1102.4281OpenAlexW2013096239MaRDI QIDQ2016097

Darlan Girão

Publication date: 19 June 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.4281

zbMATH Keywords

Kleinian groupsrank of groups

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (5)

Ascending chains of finitely generated subgroups ⋮ Torsions of 3-dimensional small covers ⋮ Schreier’s formula for prosupersolvable groups ⋮ Systolic surfaces of arithmetic hyperbolic 3-manifolds ⋮ Ranks of subgroups in boundedly generated groups

Cites Work

• Rank gradient, cost of groups and the rank versus Heegaard genus problem
• Volume estimates for equiangular hyperbolic Coxeter polyhedra
• Geometry of growth: approximation theorems for \(L^2\) invariants
• Expanders, rank and graphs of groups
• Cost of equivalence relations and groups
• Heegaard splittings, the virtually Haken conjecture and property \((\tau)\)
• Criteria for virtual fibering
• Rank and genus of 3-manifolds
• Heegaard genus and property τ for hyperbolic 3-manifolds
• ON CONVEX POLYHEDRA IN LOBAČEVSKIĬ SPACES
• Injectivity radii of hyperbolic polyhedra.
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