Subgroups of bounded rank in hyperbolic 3‐manifold groups

Abstract We prove a finiteness theorem for subgroups of bounded rank in hyperbolic 3‐manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic 3‐manifolds is a tower of finite covers associated to a fibration over a 1‐orbifold.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2024-10-20
DOI
https://doi.org/10.1112/blms.13170
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Subgroups of bounded rank in hyperbolic 3‐manifold groups

Ian Biringer
Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

Subgroups of bounded rank in hyperbolic 3‐manifold groups

Ian Biringer
article en

Abstract

Abstract We prove a finiteness theorem for subgroups of bounded rank in hyperbolic 3‐manifold groups. As a consequence, we show that every bounded rank covering tower of closed hyperbolic 3‐manifolds is a tower of finite covers associated to a fibration over a 1‐orbifold.

Bulletin of the London Mathematical SocietyVol. 56(12)
Boston College (US)
National Science Foundation
Openalex Percentile: Top 71%
Geometric and Algebraic Topology
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Subgroups of bounded rank in hyperbolic 3‐manifold groups — Ian Biringer · Bulletin of the London Mathematical Society (2024) | TGRS Research Map | TGRS