Pith. sign in

REVIEW 2 cited by

Finite index rigidity of hyperbolic groups

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2302.04484 v3 pith:FJOAOJW6 submitted 2023-02-09 math.GR math.MG

Nir Lazarovich This is my paper · ORCID
classification math.GRmath.MG
keywords grouphyperbolicindexfiniteproveactioncellsclassifying
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We prove that the topological complexity of a finite index subgroup of a hyperbolic group is linear in its index. This follows from a more general result relating the size of the quotient of a free cocompact action of hyperbolic group on a graph to the minimal number of cells in a simplicial classifying space for the group. As a corollary we prove that any two isomorphic finite-index subgroups of a non-elementary hyperbolic group have the same index.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Stable cylinders and fine structures for hyperbolic groups and curve graphs

    math.GT 2025-01 conditional novelty 8.0 of 10

    Every residually finite hyperbolic group, and every curve graph of a finite-type surface, admits globally stable cylinders.

  2. Finite Index Rigidity of Relatively Hyperbolic Groups

    math.GR 2025-09 conditional novelty 6.0 of 10

    Torsion-free relatively hyperbolic groups with non-relatively-hyperbolic peripheral subgroups are finite index rigid, and peripheral-structure-preserving isomorphisms between finite index subgroups force equal indices.

Pith tools