Cited by 192Geometric and Algebraic TopologyMathematical Dynamics and FractalsAdvanced Algebra and Geometry

Three-dimensional affine crystallographic groups

Open access
Fried, David, Goldman, William M·1983·Advances in Mathematics

Integrity signals

Registry

Crossref · 10.1016/0001-8708(83)90053-1

Cites

1 of 1 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • A covering of a compact Riemannian manifold with non-amenable deck group has spectrum bounded away from zero.

    “A covering of a compact Riemannian manifold with non-amenable deck group has spectrum bounded away from zero, by Brooks's theorem [45]”

    From Lorentz spacetimes of constant curvature (2007) · cites this paper as [45]

Cites

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Cited by

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Authors
Fried, D., & Goldman, W. M.
Affiliations
  • Institut des Hautes Études Scientifiques (FR)
  • Massachusetts Institute of Technology (US)
Venue
Advances in Mathematics
Publisher
Elsevier BV
Published
1983-01
Volume
47
Issue
1
Pages
1-49
ISSN
0001-8708 (ISSN-L)
OpenAlex
W2143305397
Cited by
192
References
1
Citations by year
2026: 4 · 2025: 5 · 2024: 5 · 2023: 1 · 2022: 4 · 2021: 10 · 2020: 7 · 2019: 4 · 2018: 2 · 2017: 7 · 2016: 5 · 2015: 8 · 2014: 6 · 2013: 6 · 2012: 6
FWCI
3.94
Type
journal article
Language
en
Open access
Locations
Advances in Mathematics (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
  • Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
  • Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
Keywords
proper discontinuous actions, polynomial automorphisms, closed 3-manifolds, affine structures, fundamental groups of 3-manifolds

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

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