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arxiv: 1409.3509 · v2 · submitted 2014-09-11 · 🧮 math.GT

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Some 3-manifold groups with the same finite quotients

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keywords examplesgroupssamefinitegivemanifoldsfundamentalisomorphic
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We give examples of closed, oriented 3-manifolds whose fundamental groups are not isomorphic, but yet have the same sets of finite quotient groups; hence the same profinite completions. We also give examples of compact, oriented 3-manifolds with non-empty boundaries whose fundamental groups though isomorphic have distinct peripheral structures, but yet have the same sets of finite peripheral pair quotients (defined below). The examples are Seifert Fibered Spaces with zero rational Euler number; moreover most of these manifolds give rise to such examples.

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Cited by 1 Pith paper

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

  1. On submersions with definite folds of manifolds with boundary into Euclidean spaces

    math.GT 2026-04 unverdicted novelty 5.0

    Manifolds with boundary that admit submersions with definite folds into R^n have restricted diffeomorphism types and Euler characteristics when boundary folds satisfy round or image-simple conditions.