REVIEW 2 cited by
Some 3-manifold groups with the same finite quotients
Not yet reviewed by Pith; the record is open.
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
read the original abstract
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.
Forward citations
Cited by 2 Pith papers
-
Profinite rigidity and geometric convergence
Profinite rigid hyperbolic 3-manifolds are closed under geometric convergence, and bubble-drilled examples including the Whitehead link and Borromean rings are profinitely rigid.
-
On submersions with definite folds of manifolds with boundary into Euclidean spaces
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.
Discussion (0). Continue with ORCID to comment.