Pith. sign in

REVIEW

Amalgamated products and properly 3-realizable 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 math/0609289 v1 pith:P3CPBKHO submitted 2006-09-11 math.GT math.AT

M. Cardenas , F. F. Lasheras , A. Quintero , D. Repovš This is my paper · ORCID
classification math.GTmath.AT
keywords groupsproperlyrealizableamalgamatedproductsboundaryclassclosed
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper, we show that the class of all properly 3-realizable groups is closed under amalgamated free products (and HNN-extensions) over finite groups. We recall that $G$ is said to be properly 3-realizable if there exists a compact 2-polyhedron $K$ with $\pi_1(K) \cong G$ and whose universal cover $\tilde{K}$ has the proper homotopy type of a 3-manifold (with boundary).

Discussion (0). Continue with ORCID to comment.

Pith tools