Pith. sign in

REVIEW 1 cited by

Finiteness properties of asymptotically rigid handlebody 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 2504.05787 v1 pith:N6VW62OH submitted 2025-04-08 math.GT math.GR

Sergio Domingo-Zubiaga This is my paper · ORCID
classification math.GTmath.GR
keywords groupshandlebodyasymptoticallyfinitenesshomologypropertiesrigidcases
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We introduce asymptotically rigid mapping class groups of handlebodies and determine their finiteness properties, which vary depending on the space of ends of the underlying handlebody. As it turns out, in some cases, the homology of these groups coincides with the stable homology of handlebody groups, as studied by Hatcher and Wahl.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

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

  1. Asymptotically rigid mapping class groups of infinite graphs

    math.GT 2025-08 conditional novelty 7.0 of 10

    Graph Houghton groups form a genuinely new family of Houghton-type groups with finiteness type F_{r-1} but not FP_r, and with explicit presentations of their pure subgroups.

Pith tools