Peripheral separability and cusps of arithmetic hyperbolic orbifolds

DOI10.2140/agt.2004.4.721zbMath1058.57012arXivmath/0409278OpenAlexW2122585931MaRDI QIDQ1880649

David B. McReynolds

Publication date: 30 September 2004

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409278

zbMATH Keywords

hyperbolic spacesubgroup separabilityBorel subgrouparithmetic latticecusp cross-sectionnil manifold

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Geometric structures on manifolds of high or arbitrary dimension (57N16)

Related Items

Zariski closures and subgroup separability ⋮ Determining Fuchsian groups by their finite quotients ⋮ Separable subgroups of mapping class groups ⋮ Cusp cross-sections of hyperbolic orbifolds by Heisenberg nilmanifolds. I ⋮ Cusp shapes of Hilbert-Blumenthal surfaces ⋮ Cusps and commensurability classes of hyperbolic 4-manifolds ⋮ Cusps of Hilbert modular varieties ⋮ Absolute profinite rigidity and hyperbolic geometry ⋮ Arithmetic cusp shapes are dense ⋮ Aspherical manifolds with relatively hyperbolic fundamental groups. ⋮ Convex projective manifolds with a cusp of any non‐diagonalizable type ⋮ Cusp and b_1 growth for ball quotients and maps onto Z with finitely generated kernel

Uses Software

• AClib

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