Growth Rates, ℤ p -Homology, and Volumes of Hyperbolic 3-Manifolds

DOI10.2307/2154149zbMath0768.57001OpenAlexW4230294684WikidataQ124919737 ScholiaQ124919737MaRDI QIDQ4018474

Peter B. Shalen, Philip Wagreich

Publication date: 16 January 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154149

zbMATH Keywords

3-manifoldstorus theoreminfinite indexfree subgroup of rank 2Margulis numbervolumes of hyperbolic 3-manifolds\(n\)-generator subgroup of the fundamental groupclosed hyperbolicfinite cover which is sufficiently largegenus \(g\) surface groupgrowth rates of fundamental groups of 3-manifoldsrank of first homology group

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14)

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