Pith. sign in

REVIEW 1 cited by

Generating Sets and Algebraic Properties of Pure Mapping Class Groups of Infinite Graphs

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 2309.07885 v1 pith:MC2AF4BR submitted 2023-09-14 math.GR math.GT

George Domat , Hannah Hoganson , Sanghoon Kwak This is my paper · ORCID
classification math.GRmath.GT
keywords algebraicclassgroupsmappingpureclassifygeneratinggraphs
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We completely classify the locally finite, infinite graphs with pure mapping class groups admitting a coarsely bounded generating set. We also study algebraic properties of the pure mapping class group: We establish a semidirect product decomposition, compute first integral cohomology, and classify when they satisfy residual finiteness and the Tits alternative. These results provide a framework and some initial steps towards quasi-isometric and algebraic rigidity of these groups.

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. Graphical models for topological groups: A case study on countable Stone spaces

    math.GR 2024-11 conditional novelty 6.0 of 10

    The paper defines Cayley-Abels-Rosendal graphs for Polish groups and uses them to classify when homeomorphism groups of countable Stone spaces are coarsely bounded, locally bounded, and boundedly generated.

Pith tools